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id="Pill-react-component-e925df52-89d6-49de-911b-908035cf4238"></div> </a></div></div></div></div><div class="right-panel-container"><div class="user-content-wrapper"><div class="uploads-container" id="social-redesign-work-container"><div class="upload-header"><h2 class="ds2-5-heading-sans-serif-xs">Uploads</h2></div><div class="documents-container backbone-social-profile-documents" style="width: 100%;"><div class="u-taCenter"></div><div class="profile--tab_content_container js-tab-pane tab-pane active" id="all"><div class="profile--tab_heading_container js-section-heading" data-section="Papers" id="Papers"><h3 class="profile--tab_heading_container">Papers by Marcelo N Kuperman</h3></div><div class="js-work-strip profile--work_container" data-work-id="21038732"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/21038732/Associative_memory_on_a_small_world_neural_network"><img alt="Research paper thumbnail of Associative memory on a small-world neural network" class="work-thumbnail" src="https://attachments.academia-assets.com/41683748/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/21038732/Associative_memory_on_a_small_world_neural_network">Associative memory on a small-world neural network</a></div><div class="wp-workCard_item wp-workCard--coauthors"><span>by </span><span><a class="" data-click-track="profile-work-strip-authors" href="https://fsoc.academia.edu/LuisMorelli">Luis G Morelli</a> and <a class="" data-click-track="profile-work-strip-authors" href="https://uncu.academia.edu/MKuperman">Marcelo N Kuperman</a></span></div><div class="wp-workCard_item"><span>The European Physical Journal B</span><span>, 2004</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study a model of associative memory based on a neural network with small-world structure. The ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study a model of associative memory based on a neural network with small-world structure. The efficacy of the network to retrieve one of the stored patterns exhibits a phase transition at a finite value of the disorder. The more ordered networks are unable to recover the patterns, and are always attracted to non-symmetric mixture states. Besides, for a range of the number of stored patterns, the efficacy has a maximum at an intermediate value of the disorder. We also give a statistical characterization of the spurious attractors for all values of the disorder of the network.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="6641ebb5ad70a4263ced3d96a00b45fd" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41683748,"asset_id":21038732,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41683748/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="21038732"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="21038732"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 21038732; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=21038732]").text(description); $(".js-view-count[data-work-id=21038732]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 21038732; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='21038732']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "6641ebb5ad70a4263ced3d96a00b45fd" } } $('.js-work-strip[data-work-id=21038732]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":21038732,"title":"Associative memory on a small-world neural network","translated_title":"","metadata":{"grobid_abstract":"We study a model of associative memory based on a neural network with small-world structure. 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Inspired by these results, we have developed a model that qualitatively reproduces these observations. The model presents the social organization as a self organized processes where the size of the repertoire in one case and of the neocortex in another play a highly relevant role.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="d287fee35b6b145d2e4fcd332d945c40" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611655,"asset_id":20881499,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611655/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881499"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881499"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881499; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881499]").text(description); $(".js-view-count[data-work-id=20881499]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881499; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881499']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "d287fee35b6b145d2e4fcd332d945c40" } } $('.js-work-strip[data-work-id=20881499]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881499,"title":"A model for the emergence of social organization in primates","translated_title":"","metadata":{"abstract":"Recent studies have established an apparent relationship between the repertoire of signals used for communication and neocortex size of different species of primates and the topology of the social network formed by the interactions between individuals. 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The model represents typical scenarios of human invasion and environmental change, characteristic of the late Pleistocene, concomitant with the extinction of fauna in many regions of the world. As a first approach we focus on a small trophic web of three species, including two herbivores in asymmetric competition, in order to characterize the generic behaviors. Specifically, we use a stochastic dynamical system, allowing the study of the role of fluctuations and spatial correlations. We show that the presence of hunters drives the superior herbivore to extinction even in habitats that would allow coexistence, and even when the pressure of hunting is lower than on the inferior one. The role of system size and fluctuating populations is addressed, showing an ecological meltdown in small systems in the presence of humans. The time to extinction as a function of the system size, as calculated with the model, shows a good agreement with paleontological data. Other findings show the intricate play of the anthropic and environmental factors that may have caused the extinction of megafauna.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="c6c1be323b52c72a33cb82d03b7b4bd6" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611763,"asset_id":20881498,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611763/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881498"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881498"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881498; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881498]").text(description); $(".js-view-count[data-work-id=20881498]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881498; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881498']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "c6c1be323b52c72a33cb82d03b7b4bd6" } } $('.js-work-strip[data-work-id=20881498]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881498,"title":"On the roles of hunting and habitat size on the extinction of megafauna","translated_title":"","metadata":{"grobid_abstract":"We study a mechanistic mathematical model of extinction and coexistence in a generic hunter-prey ecosystem. 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Other findings show the intricate play of the anthropic and environmental factors that may have caused the extinction of megafauna.","publication_date":{"day":null,"month":null,"year":2015,"errors":{}},"publication_name":"Quaternary International","grobid_abstract_attachment_id":41611763},"translated_abstract":null,"internal_url":"https://www.academia.edu/20881498/On_the_roles_of_hunting_and_habitat_size_on_the_extinction_of_megafauna","translated_internal_url":"","created_at":"2016-01-26T23:57:24.297-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":32568803,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[{"id":41611763,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/41611763/thumbnails/1.jpg","file_name":"On_the_roles_of_hunting_and_habitat_size20160126-26079-uzhigc.pdf","download_url":"https://www.academia.edu/attachments/41611763/download_file","bulk_download_file_name":"On_the_roles_of_hunting_and_habitat_size.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/41611763/On_the_roles_of_hunting_and_habitat_size20160126-26079-uzhigc-libre.pdf?1453881874=\u0026response-content-disposition=attachment%3B+filename%3DOn_the_roles_of_hunting_and_habitat_size.pdf\u0026Expires=1743655926\u0026Signature=KYBYGMSfLub18JgaOESgencaP8c2l5o~k2ZcKFOQ2ib6y1bB31~4YTwDpIRSFLekmIK5hEKjRyadquA5ur3ph~rp-65UjXKO1R7yibgXuijLVKV-~LTDm1tB6Mr83SziniAZaEG8FfBFNou6DAyg-icjtAbkfz~vzTfse4Dt7CeYBcK2N0U5yrDcphmN1~wcD8QO-nJ6XF-uQdLh6VL0XhclZyCHd956acR3HE3VfSDpyAdoUnWVrKZjfrSVIR44Nyciousr0yQ~JLavewz~9OqJ1PtDUCJIQQsd9HSvVtMST-MMj6FDO2chdWaIJ4PopT9CKbkOT9iVnBx0HJmpMA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"slug":"On_the_roles_of_hunting_and_habitat_size_on_the_extinction_of_megafauna","translated_slug":"","page_count":10,"language":"en","content_type":"Work","summary":"We study a mechanistic mathematical model of extinction and coexistence in a generic hunter-prey ecosystem. The model represents typical scenarios of human invasion and environmental change, characteristic of the late Pleistocene, concomitant with the extinction of fauna in many regions of the world. As a first approach we focus on a small trophic web of three species, including two herbivores in asymmetric competition, in order to characterize the generic behaviors. Specifically, we use a stochastic dynamical system, allowing the study of the role of fluctuations and spatial correlations. We show that the presence of hunters drives the superior herbivore to extinction even in habitats that would allow coexistence, and even when the pressure of hunting is lower than on the inferior one. The role of system size and fluctuating populations is addressed, showing an ecological meltdown in small systems in the presence of humans. The time to extinction as a function of the system size, as calculated with the model, shows a good agreement with paleontological data. Other findings show the intricate play of the anthropic and environmental factors that may have caused the extinction of megafauna.","owner":{"id":32568803,"first_name":"Marcelo","middle_initials":"N","last_name":"Kuperman","page_name":"MKuperman","domain_name":"uncu","created_at":"2015-06-26T11:44:31.357-07:00","display_name":"Marcelo N Kuperman","url":"https://uncu.academia.edu/MKuperman"},"attachments":[{"id":41611763,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/41611763/thumbnails/1.jpg","file_name":"On_the_roles_of_hunting_and_habitat_size20160126-26079-uzhigc.pdf","download_url":"https://www.academia.edu/attachments/41611763/download_file","bulk_download_file_name":"On_the_roles_of_hunting_and_habitat_size.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/41611763/On_the_roles_of_hunting_and_habitat_size20160126-26079-uzhigc-libre.pdf?1453881874=\u0026response-content-disposition=attachment%3B+filename%3DOn_the_roles_of_hunting_and_habitat_size.pdf\u0026Expires=1743655926\u0026Signature=KYBYGMSfLub18JgaOESgencaP8c2l5o~k2ZcKFOQ2ib6y1bB31~4YTwDpIRSFLekmIK5hEKjRyadquA5ur3ph~rp-65UjXKO1R7yibgXuijLVKV-~LTDm1tB6Mr83SziniAZaEG8FfBFNou6DAyg-icjtAbkfz~vzTfse4Dt7CeYBcK2N0U5yrDcphmN1~wcD8QO-nJ6XF-uQdLh6VL0XhclZyCHd956acR3HE3VfSDpyAdoUnWVrKZjfrSVIR44Nyciousr0yQ~JLavewz~9OqJ1PtDUCJIQQsd9HSvVtMST-MMj6FDO2chdWaIJ4PopT9CKbkOT9iVnBx0HJmpMA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":35587,"name":"Quaternary","url":"https://www.academia.edu/Documents/in/Quaternary"}],"urls":[]}, dispatcherData: dispatcherData }); 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We replace Fisher-like equations that have been recently used to describe Hantavirus spread in mouse populations by generalizations capable of describing Allee effects that are a consequence of the high order nonlinearities. We analyze the equations to calculate steady state solutions. We study the stability of those solutions under physical conditions and compare to the earlier Fisher-like case. We consider spatial modulation of the environment and find that unexpected results appear, including a bifurcation that has not been studied before.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="b26fdc63b41fc702fcf81be342b90ea6" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611757,"asset_id":20881496,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611757/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881496"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881496"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881496; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881496]").text(description); $(".js-view-count[data-work-id=20881496]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881496; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881496']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "b26fdc63b41fc702fcf81be342b90ea6" } } $('.js-work-strip[data-work-id=20881496]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881496,"title":"Theory of possible effects of the Allee phenomenon on refugia of the Hantavirus epidemic","translated_title":"","metadata":{"abstract":"We investigate possible effects of high order nonlinearities on the shapes of infection refugia of the Hantavirus epidemic. 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We study the stability of those solutions under physical conditions and compare to the earlier Fisher-like case. 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The interactions considered are not symmetric between the two age-organized classes and are responsible for driving the younger members away from home ranges. 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Such structure is usually assumed to be given by a graph. In general, the success of cooperative strategies is associated with the possibility of forming globular clusters, which in turn depends on a feature of the network that is measured by its clustering coefficient. In this work we test the dependence of the success of cooperation with the clustering coefficient of the network, for several different families of networks. We have found that this dependence is far from trivial. Additionally, for both stochastic and deterministic dynamics we have also found that there is a strong dependence on the initial composition of the population. This hints at the existence of several different mechanisms that could promote or hinder cluster expansion. 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At each time step each individual is associated with a domain or neighborhood of fully connected agents.The dynamics of this changing neighborhood will later be translated into a situation where the links between individuals are also dynamic. A characterization in terms of the parameters that govern the evolution of the network and a comparison to previous work on Small World networks is presented as well.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="55f828ab7b7775dbb9b5437b33ae80a8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611759,"asset_id":20881493,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611759/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881493"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881493"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881493; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881493]").text(description); $(".js-view-count[data-work-id=20881493]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881493; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881493']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "55f828ab7b7775dbb9b5437b33ae80a8" } } $('.js-work-strip[data-work-id=20881493]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881493,"title":"Dynamic Domains Networks","translated_title":"","metadata":{"abstract":"We present a model for the description of the evolution of contacts among individuals in a network. 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Miguel A. Fuentes , Marcelo N. Kuperman 1 and Horacio S. Wio 2 , Corresponding Author Contact...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">... Miguel A. Fuentes , Marcelo N. Kuperman 1 and Horacio S. Wio 2 , Corresponding Author Contact Information , E-mail The Corresponding Author. ... However, Graham and collaborators [22, 23, 24, 33, 34, 35 and 36] who have been pioneers in introducing those concepts ...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="421baee2ca9db427475062179e0e2e15" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41918598,"asset_id":20881492,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41918598/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881492"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881492"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881492; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881492]").text(description); $(".js-view-count[data-work-id=20881492]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881492; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881492']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "421baee2ca9db427475062179e0e2e15" } } $('.js-work-strip[data-work-id=20881492]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881492,"title":"Convergence in reaction-diffusion systems: an information theory approach","translated_title":"","metadata":{"abstract":"... 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Miguel A. Fuentes , Marcelo N. Kuperman 1 and Horacio S. Wio 2 , Corresponding Author Contact Information , E-mail The Corresponding Author. ... However, Graham and collaborators [22, 23, 24, 33, 34, 35 and 36] who have been pioneers in introducing those concepts ...","owner":{"id":32568803,"first_name":"Marcelo","middle_initials":"N","last_name":"Kuperman","page_name":"MKuperman","domain_name":"uncu","created_at":"2015-06-26T11:44:31.357-07:00","display_name":"Marcelo N Kuperman","url":"https://uncu.academia.edu/MKuperman"},"attachments":[{"id":41918598,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/41918598/thumbnails/1.jpg","file_name":"s0378-4371_2899_2900256-3.pdf20160202-3950-1d09pfw","download_url":"https://www.academia.edu/attachments/41918598/download_file","bulk_download_file_name":"Convergence_in_reaction_diffusion_system.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/41918598/s0378-4371_2899_2900256-3-libre.pdf20160202-3950-1d09pfw?1454477979=\u0026response-content-disposition=attachment%3B+filename%3DConvergence_in_reaction_diffusion_system.pdf\u0026Expires=1743655926\u0026Signature=cdvB-8Cjepro1o~qp11SFWPCqZkDoRtNKeiCJK6A1sR~76ekexdamt0nR0YKVmfDPfB~JT05UlvxEYDn2jGSz5DGlOFDY29cYJEehKwIcIclL0ZwwuWI4tTpTh4nAYkZJT4KpAbzV-3HB3XcGPhYSFeRR7exeCJrm~D-V7Ss1CKe5xWCuvdgz7AoBfTLOqFc5f9UB2ZvNr9OPZFZfwzgpLeZ6vLqmfZKCnibj0pWpWM2G9ekImsLvoiRgkd2a0LnR~ZVBTz5fmxX~Hv~gPj9lUX5UoxgigBAOUNfUU4qb~k1hhkRmL3Q10Ueq6hPX7NnKp8nxButR~9ZtIFktdcgrA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-20881492-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881491"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/20881491/Stochastic_resonance_in_an_activator_inhibitor_system_through_adiabatic_and_quasi_variational_approaches"><img alt="Research paper thumbnail of Stochastic resonance in an activator–inhibitor system through adiabatic and quasi-variational approaches" class="work-thumbnail" src="https://attachments.academia-assets.com/41611758/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/20881491/Stochastic_resonance_in_an_activator_inhibitor_system_through_adiabatic_and_quasi_variational_approaches">Stochastic resonance in an activator–inhibitor system through adiabatic and quasi-variational approaches</a></div><div class="wp-workCard_item"><span>Physica A: Statistical Mechanics and its Applications</span><span>, 1998</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study the phenomenon of stochastic resonance in a spatially extended system. An activatorinhib...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study the phenomenon of stochastic resonance in a spatially extended system. An activatorinhibitor reaction-di usion model is analyzed through two di erent approximations: an adiabatic one leading to a known form of the Graham's nonequilibrium potential, and a quasi-variational approach that allows to obtain an approximated form of Graham's potential for a di erent parameter region. Those potentials have been exploited to obtain, ÿrstly the probability for the decay of the metastable extended states, and secondly expressions for the correlation function and for the signal-to-noise ratio, within the framework of a two state description. The analytical results show how this ratio depends on both local and nonlocal coupling parameters.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a14a5eeb806a22380ae67167fa3ab1bf" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611758,"asset_id":20881491,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611758/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881491"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881491"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881491; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881491]").text(description); $(".js-view-count[data-work-id=20881491]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881491; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881491']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a14a5eeb806a22380ae67167fa3ab1bf" } } $('.js-work-strip[data-work-id=20881491]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881491,"title":"Stochastic resonance in an activator–inhibitor system through adiabatic and quasi-variational approaches","translated_title":"","metadata":{"ai_title_tag":"Stochastic Resonance in Activator-Inhibitor Systems","grobid_abstract":"We study the phenomenon of stochastic resonance in a spatially extended system. 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The analytical results show how this ratio depends on both local and nonlocal coupling parameters.","owner":{"id":32568803,"first_name":"Marcelo","middle_initials":"N","last_name":"Kuperman","page_name":"MKuperman","domain_name":"uncu","created_at":"2015-06-26T11:44:31.357-07:00","display_name":"Marcelo N Kuperman","url":"https://uncu.academia.edu/MKuperman"},"attachments":[{"id":41611758,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/41611758/thumbnails/1.jpg","file_name":"Stochastic_resonance_in_an_activatorinhi20160126-26079-1jzl0u4.pdf","download_url":"https://www.academia.edu/attachments/41611758/download_file","bulk_download_file_name":"Stochastic_resonance_in_an_activator_inh.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/41611758/Stochastic_resonance_in_an_activatorinhi20160126-26079-1jzl0u4-libre.pdf?1453881867=\u0026response-content-disposition=attachment%3B+filename%3DStochastic_resonance_in_an_activator_inh.pdf\u0026Expires=1743655926\u0026Signature=a0JSz~1TaWZrOGYAGogobEIbXflNepz12WoLC7rFY29G2Sz~GiH1VjVX3Ja45h3YnrFW~TUTa~qZc-KIOJvycqayfNjHRhb54Ci-jqQsNDr2JKAXOEia8r7kZsxzUZ3SpOQRB6~zkyXOzsmu-T0TdGNa-Vd8yxWz5cMp0syffY6mHeOkfKiPyuCuowQgfehMNUKNsIQLy8135cAXz6uyPV2HoNHZhWyd3nIA-L~MKBLlNrW7jbnB56VMVDgIChme-HsfcGz2huxK7QrqEJdHzLn65PpsJaKe9rzr-XOuDeAj8qnQ60M9Pa~A2iTlC3RMYh1hqmi6-~qLFJYUepshmw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics"},{"id":112233,"name":"Reaction-Diffusion Systems","url":"https://www.academia.edu/Documents/in/Reaction-Diffusion_Systems"},{"id":336880,"name":"Variational Approach","url":"https://www.academia.edu/Documents/in/Variational_Approach"},{"id":472459,"name":"Stochastic Resonance","url":"https://www.academia.edu/Documents/in/Stochastic_Resonance"},{"id":991311,"name":"Signal to Noise Ratio","url":"https://www.academia.edu/Documents/in/Signal_to_Noise_Ratio"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-20881491-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881490"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/20881490/Stochastic_resonant_media_Signal_to_noise_ratio_for_the_activator_inhibitor_system_through_a_quasivariational_approach"><img alt="Research paper thumbnail of Stochastic resonant media: Signal-to-noise ratio for the activator-inhibitor system through a quasivariational approach" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title">Stochastic resonant media: Signal-to-noise ratio for the activator-inhibitor system through a quasivariational approach</div><div class="wp-workCard_item"><span>Physical Review E</span><span>, 1998</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatiall...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatially extended stochastic system of the activator-inhibitor kind. In its bistable regime, through a quasivariational approach we make an approximate evaluation of the nonequilibrium potential for this system. The latter in turn allows us to obtain the probability for the decay of the (extended) metastable states and through it the signal-to-noise ratio within the framework of a two-state description. The analytical results show that this ratio increases with the activator’s diffusivity, whereas it exhibits nonmonotonic behavior against variation of the coupling between both fields.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881490"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881490"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881490; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881490]").text(description); $(".js-view-count[data-work-id=20881490]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881490; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881490']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=20881490]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881490,"title":"Stochastic resonant media: Signal-to-noise ratio for the activator-inhibitor system through a quasivariational approach","translated_title":"","metadata":{"abstract":"ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatially extended stochastic system of the activator-inhibitor kind. In its bistable regime, through a quasivariational approach we make an approximate evaluation of the nonequilibrium potential for this system. The latter in turn allows us to obtain the probability for the decay of the (extended) metastable states and through it the signal-to-noise ratio within the framework of a two-state description. The analytical results show that this ratio increases with the activator’s diffusivity, whereas it exhibits nonmonotonic behavior against variation of the coupling between both fields.","publication_date":{"day":null,"month":null,"year":1998,"errors":{}},"publication_name":"Physical Review E"},"translated_abstract":"ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatially extended stochastic system of the activator-inhibitor kind. In its bistable regime, through a quasivariational approach we make an approximate evaluation of the nonequilibrium potential for this system. The latter in turn allows us to obtain the probability for the decay of the (extended) metastable states and through it the signal-to-noise ratio within the framework of a two-state description. The analytical results show that this ratio increases with the activator’s diffusivity, whereas it exhibits nonmonotonic behavior against variation of the coupling between both fields.","internal_url":"https://www.academia.edu/20881490/Stochastic_resonant_media_Signal_to_noise_ratio_for_the_activator_inhibitor_system_through_a_quasivariational_approach","translated_internal_url":"","created_at":"2016-01-26T23:57:21.890-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":32568803,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Stochastic_resonant_media_Signal_to_noise_ratio_for_the_activator_inhibitor_system_through_a_quasivariational_approach","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatially extended stochastic system of the activator-inhibitor kind. In its bistable regime, through a quasivariational approach we make an approximate evaluation of the nonequilibrium potential for this system. The latter in turn allows us to obtain the probability for the decay of the (extended) metastable states and through it the signal-to-noise ratio within the framework of a two-state description. The analytical results show that this ratio increases with the activator’s diffusivity, whereas it exhibits nonmonotonic behavior against variation of the coupling between both fields.","owner":{"id":32568803,"first_name":"Marcelo","middle_initials":"N","last_name":"Kuperman","page_name":"MKuperman","domain_name":"uncu","created_at":"2015-06-26T11:44:31.357-07:00","display_name":"Marcelo N Kuperman","url":"https://uncu.academia.edu/MKuperman"},"attachments":[],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"},{"id":472459,"name":"Stochastic Resonance","url":"https://www.academia.edu/Documents/in/Stochastic_Resonance"},{"id":991311,"name":"Signal to Noise Ratio","url":"https://www.academia.edu/Documents/in/Signal_to_Noise_Ratio"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-20881490-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881489"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/20881489/Nonlocal_interaction_effects_on_pattern_formation_in_population_dynamics"><img alt="Research paper thumbnail of Nonlocal interaction effects on pattern formation in population dynamics" class="work-thumbnail" src="https://attachments.academia-assets.com/41611754/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/20881489/Nonlocal_interaction_effects_on_pattern_formation_in_population_dynamics">Nonlocal interaction effects on pattern formation in population dynamics</a></div><div class="wp-workCard_item"><span>Physical review letters</span><span>, Jan 10, 2003</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We consider a model for population dynamics such as for the evolution of bacterial colonies which...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We consider a model for population dynamics such as for the evolution of bacterial colonies which is of the Fisher type but where the competitive interaction among individuals is nonlocal, and show that spatial structures with interesting features emerge. 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Agents are able to change their strategy, imitating that of the most successful neighbor. We observe that different topologies, ranging from regular lattices to random graphs, produce a variety of emergent behaviors. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-13248349-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881485"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/20881485/Analytic_considerations_in_the_study_of_spatial_patterns_arising_from_non_local_interaction_effects_in_population_dynamics"><img alt="Research paper thumbnail of Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics" class="work-thumbnail" src="https://attachments.academia-assets.com/41611652/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/20881485/Analytic_considerations_in_the_study_of_spatial_patterns_arising_from_non_local_interaction_effects_in_population_dynamics">Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Simple analytic considerations are applied to recently discovered patterns in a generalized Fishe...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Simple analytic considerations are applied to recently discovered patterns in a generalized Fisher equation for population dynamics. The generalization consists of the inclusion of non-local competition interactions among individuals. We first show how stability arguments yield a condition for pattern formation involving the ratio of the pattern wavelength and the effective diffusion length of the individuals. We develop a mode-mode</span></div><div class="wp-workCard_item"><div class="carousel-container carousel-container--sm" id="profile-work-20881485-figures"><div class="prev-slide-container js-prev-button-container"><button aria-label="Previous" class="carousel-navigation-button js-profile-work-20881485-figures-prev"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">arrow_back_ios</span></button></div><div class="slides-container js-slides-container"><figure class="figure-slide-container"><a href="https://www.academia.edu/figures/33214600/figure-1-the-dispersion-relation-between-the-dimensionless"><img alt="FIG. 1: The dispersion relation (9) between the dimensionless growth exponent y and wavenumber k’ plotted for different values of the ratio 7 of the influence function range to the diffusion length (see text). Values of 7 are 50 (solid line), 10 (dashed line), and 2 (dotted line). Patterns appear for those values of k’ for which ¢ is positive. " class="figure-slide-image" src="https://figures.academia-assets.com/41611652/figure_001.jpg" /></a></figure><figure class="figure-slide-container"><a href="https://www.academia.edu/figures/33214603/figure-2-the-dispersion-relation-between-the-dimension-less"><img alt="FIG. 2: The dispersion relation between the dimension- less growth exponent y and wavenumber k plotted for the intermediate influence function. Values of 7 are as in Fig. 1: 50 (solid line), 10 (dashed line), and 2 (dotted line). Patterns appear for those values of k’ for which p is positive. " class="figure-slide-image" src="https://figures.academia-assets.com/41611652/figure_002.jpg" /></a></figure><figure class="figure-slide-container"><a href="https://www.academia.edu/figures/33214606/figure-3-in-explicitly-noting-that-mn-and-using-the"><img alt="in @), explicitly noting that k, = mn/L, and using the orthogonality properties of trigonometric functions, ob- tain separate equations for the n = 0 mode, Equations and are the complete set of equations for the evolution of the amplitudes of all modes in the non-local problem given by Eq. @). The appearance of stable patterns only for those values of k,, for which y is positive as seen in our Figs. 1 and 2, suggests that we envisage an interaction between only two modes, the zero mode and the one whose growth we examine, say n = m. In a situation as in the plots shown in which y > 0 only for a small k— range, the discrete nature of the allowed k values could lead to only a single non-zero mode lying in the stable range. Then we would have only two coupled nonlinear equations for the mode amplitudes, " class="figure-slide-image" src="https://figures.academia-assets.com/41611652/figure_003.jpg" /></a></figure></div><div class="next-slide-container js-next-button-container"><button aria-label="Next" class="carousel-navigation-button js-profile-work-20881485-figures-next"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">arrow_forward_ios</span></button></div></div></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="ec95eaa4b29be08d6d18dd5b978684a0" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611652,"asset_id":20881485,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611652/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881485"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881485"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881485; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881485]").text(description); $(".js-view-count[data-work-id=20881485]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881485; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881485']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "ec95eaa4b29be08d6d18dd5b978684a0" } } $('.js-work-strip[data-work-id=20881485]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881485,"title":"Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics","translated_title":"","metadata":{"abstract":"Simple analytic considerations are applied to recently discovered patterns in a generalized Fisher equation for population dynamics. 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They promoted a dramatic change in how epidemiologists thought of the propagation of infectious diseases. In the last decade, when the traditional epidemiological models seemed to be exhausted, new types of models were developed. These new models incorporated concepts from graph theory to describe and model the underlying social structure. Many of these works merely produced a more detailed extension of the previous results, but some others triggered a completely new paradigm in the mathematical study of epidemic processes. In this review, we will introduce the basic concepts of epidemiology, epidemic modeling and networks, to nally provide a brief description of the most relevant results in the eld. *</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fc894f3859439d655bdab61fb1fecba2" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611743,"asset_id":20881484,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611743/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881484"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881484"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881484; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881484]").text(description); $(".js-view-count[data-work-id=20881484]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881484; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881484']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "fc894f3859439d655bdab61fb1fecba2" } } $('.js-work-strip[data-work-id=20881484]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881484,"title":"Invited review: Epidemics on social networks","translated_title":"","metadata":{"grobid_abstract":"Since its rst formulations almost a century ago, mathematical models for disease spreading contributed to understand, evaluate and control the epidemic processes. 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The walker has the capacity to remember the time of the last visit to each site and the step taken from there. This memory affects the behavior of the walker each time it reaches an already visited site modulating the probability of repeating previous moves. This probability increases with the time elapsed from the last visit. A biological analog of the walker is a frugivore, with the lattice sites representing plants. The memory effect can be associated with the time needed by plants to recover its fruit load. We propose two different strategies, conservative and explorative, as well as intermediate cases, leading to nonintuitive interesting results, such as the emergence of cycles.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="13248344"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="13248344"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 13248344; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=13248344]").text(description); $(".js-view-count[data-work-id=13248344]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 13248344; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='13248344']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=13248344]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":13248344,"title":"Random-walk model to study cycles emerging from the exploration-exploitation trade-off","translated_title":"","metadata":{"abstract":"We present a model for a random walk with memory, phenomenologically inspired in a biological system. The walker has the capacity to remember the time of the last visit to each site and the step taken from there. This memory affects the behavior of the walker each time it reaches an already visited site modulating the probability of repeating previous moves. This probability increases with the time elapsed from the last visit. A biological analog of the walker is a frugivore, with the lattice sites representing plants. The memory effect can be associated with the time needed by plants to recover its fruit load. We propose two different strategies, conservative and explorative, as well as intermediate cases, leading to nonintuitive interesting results, such as the emergence of cycles.","publication_date":{"day":null,"month":null,"year":2015,"errors":{}},"publication_name":"Physical Review E"},"translated_abstract":"We present a model for a random walk with memory, phenomenologically inspired in a biological system. 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We propose two different strategies, conservative and explorative, as well as intermediate cases, leading to nonintuitive interesting results, such as the emergence of cycles.","owner":{"id":32505072,"first_name":"Guillermo","middle_initials":null,"last_name":"Abramson","page_name":"GuillermoAbramson","domain_name":"uncu","created_at":"2015-06-24T11:18:20.773-07:00","display_name":"Guillermo Abramson","url":"https://uncu.academia.edu/GuillermoAbramson"},"attachments":[],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-13248344-figures'); } }); </script> </div><div class="profile--tab_content_container js-tab-pane tab-pane" data-section-id="3102436" id="papers"><div class="js-work-strip profile--work_container" data-work-id="21038732"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/21038732/Associative_memory_on_a_small_world_neural_network"><img alt="Research paper thumbnail of Associative memory on a small-world neural network" class="work-thumbnail" src="https://attachments.academia-assets.com/41683748/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/21038732/Associative_memory_on_a_small_world_neural_network">Associative memory on a small-world neural network</a></div><div class="wp-workCard_item wp-workCard--coauthors"><span>by </span><span><a class="" data-click-track="profile-work-strip-authors" href="https://fsoc.academia.edu/LuisMorelli">Luis G Morelli</a> and <a class="" data-click-track="profile-work-strip-authors" href="https://uncu.academia.edu/MKuperman">Marcelo N Kuperman</a></span></div><div class="wp-workCard_item"><span>The European Physical Journal B</span><span>, 2004</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study a model of associative memory based on a neural network with small-world structure. The ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study a model of associative memory based on a neural network with small-world structure. The efficacy of the network to retrieve one of the stored patterns exhibits a phase transition at a finite value of the disorder. The more ordered networks are unable to recover the patterns, and are always attracted to non-symmetric mixture states. Besides, for a range of the number of stored patterns, the efficacy has a maximum at an intermediate value of the disorder. We also give a statistical characterization of the spurious attractors for all values of the disorder of the network.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="6641ebb5ad70a4263ced3d96a00b45fd" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41683748,"asset_id":21038732,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41683748/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="21038732"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="21038732"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 21038732; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=21038732]").text(description); $(".js-view-count[data-work-id=21038732]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 21038732; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='21038732']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "6641ebb5ad70a4263ced3d96a00b45fd" } } $('.js-work-strip[data-work-id=21038732]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":21038732,"title":"Associative memory on a small-world neural network","translated_title":"","metadata":{"grobid_abstract":"We study a model of associative memory based on a neural network with small-world structure. 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Inspired by these results, we have developed a model that qualitatively reproduces these observations. The model presents the social organization as a self organized processes where the size of the repertoire in one case and of the neocortex in another play a highly relevant role.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="d287fee35b6b145d2e4fcd332d945c40" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611655,"asset_id":20881499,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611655/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881499"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881499"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881499; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881499]").text(description); $(".js-view-count[data-work-id=20881499]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881499; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881499']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "d287fee35b6b145d2e4fcd332d945c40" } } $('.js-work-strip[data-work-id=20881499]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881499,"title":"A model for the emergence of social organization in primates","translated_title":"","metadata":{"abstract":"Recent studies have established an apparent relationship between the repertoire of signals used for communication and neocortex size of different species of primates and the topology of the social network formed by the interactions between individuals. 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The model represents typical scenarios of human invasion and environmental change, characteristic of the late Pleistocene, concomitant with the extinction of fauna in many regions of the world. As a first approach we focus on a small trophic web of three species, including two herbivores in asymmetric competition, in order to characterize the generic behaviors. Specifically, we use a stochastic dynamical system, allowing the study of the role of fluctuations and spatial correlations. We show that the presence of hunters drives the superior herbivore to extinction even in habitats that would allow coexistence, and even when the pressure of hunting is lower than on the inferior one. The role of system size and fluctuating populations is addressed, showing an ecological meltdown in small systems in the presence of humans. The time to extinction as a function of the system size, as calculated with the model, shows a good agreement with paleontological data. Other findings show the intricate play of the anthropic and environmental factors that may have caused the extinction of megafauna.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="c6c1be323b52c72a33cb82d03b7b4bd6" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611763,"asset_id":20881498,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611763/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881498"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881498"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881498; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881498]").text(description); $(".js-view-count[data-work-id=20881498]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881498; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881498']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "c6c1be323b52c72a33cb82d03b7b4bd6" } } $('.js-work-strip[data-work-id=20881498]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881498,"title":"On the roles of hunting and habitat size on the extinction of megafauna","translated_title":"","metadata":{"grobid_abstract":"We study a mechanistic mathematical model of extinction and coexistence in a generic hunter-prey ecosystem. 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We replace Fisher-like equations that have been recently used to describe Hantavirus spread in mouse populations by generalizations capable of describing Allee effects that are a consequence of the high order nonlinearities. We analyze the equations to calculate steady state solutions. We study the stability of those solutions under physical conditions and compare to the earlier Fisher-like case. We consider spatial modulation of the environment and find that unexpected results appear, including a bifurcation that has not been studied before.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="b26fdc63b41fc702fcf81be342b90ea6" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611757,"asset_id":20881496,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611757/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881496"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881496"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881496; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881496]").text(description); $(".js-view-count[data-work-id=20881496]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881496; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881496']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "b26fdc63b41fc702fcf81be342b90ea6" } } $('.js-work-strip[data-work-id=20881496]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881496,"title":"Theory of possible effects of the Allee phenomenon on refugia of the Hantavirus epidemic","translated_title":"","metadata":{"abstract":"We investigate possible effects of high order nonlinearities on the shapes of infection refugia of the Hantavirus epidemic. 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We study the stability of those solutions under physical conditions and compare to the earlier Fisher-like case. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-13248360-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881495"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/20881495/Spatial_features_of_population_dynamics_arising_from_mutual_interaction_of_different_age_groups_in_rodents"><img alt="Research paper thumbnail of Spatial features of population dynamics arising from mutual interaction of different age groups in rodents" class="work-thumbnail" src="https://attachments.academia-assets.com/42390228/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/20881495/Spatial_features_of_population_dynamics_arising_from_mutual_interaction_of_different_age_groups_in_rodents">Spatial features of population dynamics arising from mutual interaction of different age groups in rodents</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study the dynamics of the transmission of the hanta virus infection among mouse populations, t...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study the dynamics of the transmission of the hanta virus infection among mouse populations, taking into account, simultaneously, seasonal variations of the environment and interactions within two classes in the mouse population: adults and subadults. The interactions considered are not symmetric between the two age-organized classes and are responsible for driving the younger members away from home ranges. We consider the case of a bounded habitat affected by seasonal variations.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a571adcbd3cf5855d7fb9403078d138e" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":42390228,"asset_id":20881495,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/42390228/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881495"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881495"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881495; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881495]").text(description); $(".js-view-count[data-work-id=20881495]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881495; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881495']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a571adcbd3cf5855d7fb9403078d138e" } } $('.js-work-strip[data-work-id=20881495]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881495,"title":"Spatial features of population dynamics arising from mutual interaction of different age groups in rodents","translated_title":"","metadata":{"abstract":"We study the dynamics of the transmission of the hanta virus infection among mouse populations, taking into account, simultaneously, seasonal variations of the environment and interactions within two classes in the mouse population: adults and subadults. 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Such structure is usually assumed to be given by a graph. In general, the success of cooperative strategies is associated with the possibility of forming globular clusters, which in turn depends on a feature of the network that is measured by its clustering coefficient. In this work we test the dependence of the success of cooperation with the clustering coefficient of the network, for several different families of networks. We have found that this dependence is far from trivial. Additionally, for both stochastic and deterministic dynamics we have also found that there is a strong dependence on the initial composition of the population. This hints at the existence of several different mechanisms that could promote or hinder cluster expansion. We have studied in detail some of these mechanisms by concentrating on completely ordered netwo...</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="f47f57739f426770576579e9ce0ed2f0" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611762,"asset_id":20881494,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611762/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881494"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881494"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881494; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881494]").text(description); $(".js-view-count[data-work-id=20881494]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881494; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881494']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "f47f57739f426770576579e9ce0ed2f0" } } $('.js-work-strip[data-work-id=20881494]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881494,"title":"The topological issues of cooperation","translated_title":"","metadata":{"abstract":"In the last years the Prisoner Dilemma (PD) has become a paradigm for the study of the emergence of cooperation in spatially structured populations. 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This hints at the existence of several different mechanisms that could promote or hinder cluster expansion. 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We have studied in detail some of these mechanisms by concentrating on completely ordered netwo...","owner":{"id":32568803,"first_name":"Marcelo","middle_initials":"N","last_name":"Kuperman","page_name":"MKuperman","domain_name":"uncu","created_at":"2015-06-26T11:44:31.357-07:00","display_name":"Marcelo N Kuperman","url":"https://uncu.academia.edu/MKuperman"},"attachments":[{"id":41611762,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/41611762/thumbnails/1.jpg","file_name":"The_topological_issues_of_cooperation20160126-14159-1n30p6z.pdf","download_url":"https://www.academia.edu/attachments/41611762/download_file","bulk_download_file_name":"The_topological_issues_of_cooperation.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/41611762/The_topological_issues_of_cooperation20160126-14159-1n30p6z-libre.pdf?1453881870=\u0026response-content-disposition=attachment%3B+filename%3DThe_topological_issues_of_cooperation.pdf\u0026Expires=1743655926\u0026Signature=PhBBRHgvzukfknSkhZcNXxjDS6rloASYNq1onm8Rbp0v~hspQZOAxPQ-s3JNh4CLuEDzr3eYrnYmSA3hoiSfTjQlXpBFu7ePpdDcESTfaDKCpKvMgrfi4MTW5ZZWkQ8cgTE7WtqZg4be7bRHBV8oV4eY-Hlu8JPqd38gzhdaCBg-efqOc6ELrrJAKnajkCPx36~Pk7ij61iyMdu5mR7WWquvsz8z1fSimigQ4nNbZmjIt9p7Do5o3cDWmfI2Mig1KYuv~v0QLqtQc-t6Qgz2uOt8zq6yVhuUqklTOHBcXjsqwWQn9YZGi1LYOe3uItQwpoJvPMV4npI7Br8CrLXd6g__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":104340,"name":"Emergence of Cooperation and Altruism","url":"https://www.academia.edu/Documents/in/Emergence_of_Cooperation_and_Altruism"},{"id":320532,"name":"Clustering Coefficient","url":"https://www.academia.edu/Documents/in/Clustering_Coefficient"},{"id":320536,"name":"Random Networks","url":"https://www.academia.edu/Documents/in/Random_Networks"},{"id":771878,"name":"Spatial structure","url":"https://www.academia.edu/Documents/in/Spatial_structure"},{"id":1257668,"name":"Cluster Expansion","url":"https://www.academia.edu/Documents/in/Cluster_Expansion"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-20881494-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881493"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/20881493/Dynamic_Domains_Networks"><img alt="Research paper thumbnail of Dynamic Domains Networks" class="work-thumbnail" src="https://attachments.academia-assets.com/41611759/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/20881493/Dynamic_Domains_Networks">Dynamic Domains Networks</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We present a model for the description of the evolution of contacts among individuals in a networ...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We present a model for the description of the evolution of contacts among individuals in a network. At each time step each individual is associated with a domain or neighborhood of fully connected agents.The dynamics of this changing neighborhood will later be translated into a situation where the links between individuals are also dynamic. A characterization in terms of the parameters that govern the evolution of the network and a comparison to previous work on Small World networks is presented as well.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="55f828ab7b7775dbb9b5437b33ae80a8" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611759,"asset_id":20881493,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611759/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881493"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881493"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881493; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881493]").text(description); $(".js-view-count[data-work-id=20881493]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881493; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881493']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "55f828ab7b7775dbb9b5437b33ae80a8" } } $('.js-work-strip[data-work-id=20881493]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881493,"title":"Dynamic Domains Networks","translated_title":"","metadata":{"abstract":"We present a model for the description of the evolution of contacts among individuals in a network. 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Miguel A. Fuentes , Marcelo N. Kuperman 1 and Horacio S. Wio 2 , Corresponding Author Contact...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">... Miguel A. Fuentes , Marcelo N. Kuperman 1 and Horacio S. Wio 2 , Corresponding Author Contact Information , E-mail The Corresponding Author. ... 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However, Graham and collaborators [22, 23, 24, 33, 34, 35 and 36] who have been pioneers in introducing those concepts ...","owner":{"id":32568803,"first_name":"Marcelo","middle_initials":"N","last_name":"Kuperman","page_name":"MKuperman","domain_name":"uncu","created_at":"2015-06-26T11:44:31.357-07:00","display_name":"Marcelo N Kuperman","url":"https://uncu.academia.edu/MKuperman"},"attachments":[{"id":41918598,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/41918598/thumbnails/1.jpg","file_name":"s0378-4371_2899_2900256-3.pdf20160202-3950-1d09pfw","download_url":"https://www.academia.edu/attachments/41918598/download_file","bulk_download_file_name":"Convergence_in_reaction_diffusion_system.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/41918598/s0378-4371_2899_2900256-3-libre.pdf20160202-3950-1d09pfw?1454477979=\u0026response-content-disposition=attachment%3B+filename%3DConvergence_in_reaction_diffusion_system.pdf\u0026Expires=1743655926\u0026Signature=cdvB-8Cjepro1o~qp11SFWPCqZkDoRtNKeiCJK6A1sR~76ekexdamt0nR0YKVmfDPfB~JT05UlvxEYDn2jGSz5DGlOFDY29cYJEehKwIcIclL0ZwwuWI4tTpTh4nAYkZJT4KpAbzV-3HB3XcGPhYSFeRR7exeCJrm~D-V7Ss1CKe5xWCuvdgz7AoBfTLOqFc5f9UB2ZvNr9OPZFZfwzgpLeZ6vLqmfZKCnibj0pWpWM2G9ekImsLvoiRgkd2a0LnR~ZVBTz5fmxX~Hv~gPj9lUX5UoxgigBAOUNfUU4qb~k1hhkRmL3Q10Ueq6hPX7NnKp8nxButR~9ZtIFktdcgrA__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-20881492-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881491"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/20881491/Stochastic_resonance_in_an_activator_inhibitor_system_through_adiabatic_and_quasi_variational_approaches"><img alt="Research paper thumbnail of Stochastic resonance in an activator–inhibitor system through adiabatic and quasi-variational approaches" class="work-thumbnail" src="https://attachments.academia-assets.com/41611758/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/20881491/Stochastic_resonance_in_an_activator_inhibitor_system_through_adiabatic_and_quasi_variational_approaches">Stochastic resonance in an activator–inhibitor system through adiabatic and quasi-variational approaches</a></div><div class="wp-workCard_item"><span>Physica A: Statistical Mechanics and its Applications</span><span>, 1998</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We study the phenomenon of stochastic resonance in a spatially extended system. An activatorinhib...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We study the phenomenon of stochastic resonance in a spatially extended system. An activatorinhibitor reaction-di usion model is analyzed through two di erent approximations: an adiabatic one leading to a known form of the Graham's nonequilibrium potential, and a quasi-variational approach that allows to obtain an approximated form of Graham's potential for a di erent parameter region. Those potentials have been exploited to obtain, ÿrstly the probability for the decay of the metastable extended states, and secondly expressions for the correlation function and for the signal-to-noise ratio, within the framework of a two state description. The analytical results show how this ratio depends on both local and nonlocal coupling parameters.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="a14a5eeb806a22380ae67167fa3ab1bf" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611758,"asset_id":20881491,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611758/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881491"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881491"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881491; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881491]").text(description); $(".js-view-count[data-work-id=20881491]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881491; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881491']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "a14a5eeb806a22380ae67167fa3ab1bf" } } $('.js-work-strip[data-work-id=20881491]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881491,"title":"Stochastic resonance in an activator–inhibitor system through adiabatic and quasi-variational approaches","translated_title":"","metadata":{"ai_title_tag":"Stochastic Resonance in Activator-Inhibitor Systems","grobid_abstract":"We study the phenomenon of stochastic resonance in a spatially extended system. 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The analytical results show how this ratio depends on both local and nonlocal coupling parameters.","owner":{"id":32568803,"first_name":"Marcelo","middle_initials":"N","last_name":"Kuperman","page_name":"MKuperman","domain_name":"uncu","created_at":"2015-06-26T11:44:31.357-07:00","display_name":"Marcelo N Kuperman","url":"https://uncu.academia.edu/MKuperman"},"attachments":[{"id":41611758,"title":"","file_type":"pdf","scribd_thumbnail_url":"https://attachments.academia-assets.com/41611758/thumbnails/1.jpg","file_name":"Stochastic_resonance_in_an_activatorinhi20160126-26079-1jzl0u4.pdf","download_url":"https://www.academia.edu/attachments/41611758/download_file","bulk_download_file_name":"Stochastic_resonance_in_an_activator_inh.pdf","bulk_download_url":"https://d1wqtxts1xzle7.cloudfront.net/41611758/Stochastic_resonance_in_an_activatorinhi20160126-26079-1jzl0u4-libre.pdf?1453881867=\u0026response-content-disposition=attachment%3B+filename%3DStochastic_resonance_in_an_activator_inh.pdf\u0026Expires=1743655926\u0026Signature=a0JSz~1TaWZrOGYAGogobEIbXflNepz12WoLC7rFY29G2Sz~GiH1VjVX3Ja45h3YnrFW~TUTa~qZc-KIOJvycqayfNjHRhb54Ci-jqQsNDr2JKAXOEia8r7kZsxzUZ3SpOQRB6~zkyXOzsmu-T0TdGNa-Vd8yxWz5cMp0syffY6mHeOkfKiPyuCuowQgfehMNUKNsIQLy8135cAXz6uyPV2HoNHZhWyd3nIA-L~MKBLlNrW7jbnB56VMVDgIChme-HsfcGz2huxK7QrqEJdHzLn65PpsJaKe9rzr-XOuDeAj8qnQ60M9Pa~A2iTlC3RMYh1hqmi6-~qLFJYUepshmw__\u0026Key-Pair-Id=APKAJLOHF5GGSLRBV4ZA"}],"research_interests":[{"id":318,"name":"Mathematical Physics","url":"https://www.academia.edu/Documents/in/Mathematical_Physics"},{"id":518,"name":"Quantum Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics"},{"id":112233,"name":"Reaction-Diffusion Systems","url":"https://www.academia.edu/Documents/in/Reaction-Diffusion_Systems"},{"id":336880,"name":"Variational Approach","url":"https://www.academia.edu/Documents/in/Variational_Approach"},{"id":472459,"name":"Stochastic Resonance","url":"https://www.academia.edu/Documents/in/Stochastic_Resonance"},{"id":991311,"name":"Signal to Noise Ratio","url":"https://www.academia.edu/Documents/in/Signal_to_Noise_Ratio"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-20881491-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881490"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" rel="nofollow" href="https://www.academia.edu/20881490/Stochastic_resonant_media_Signal_to_noise_ratio_for_the_activator_inhibitor_system_through_a_quasivariational_approach"><img alt="Research paper thumbnail of Stochastic resonant media: Signal-to-noise ratio for the activator-inhibitor system through a quasivariational approach" class="work-thumbnail" src="https://a.academia-assets.com/images/blank-paper.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title">Stochastic resonant media: Signal-to-noise ratio for the activator-inhibitor system through a quasivariational approach</div><div class="wp-workCard_item"><span>Physical Review E</span><span>, 1998</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatiall...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatially extended stochastic system of the activator-inhibitor kind. In its bistable regime, through a quasivariational approach we make an approximate evaluation of the nonequilibrium potential for this system. The latter in turn allows us to obtain the probability for the decay of the (extended) metastable states and through it the signal-to-noise ratio within the framework of a two-state description. The analytical results show that this ratio increases with the activator’s diffusivity, whereas it exhibits nonmonotonic behavior against variation of the coupling between both fields.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881490"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881490"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881490; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881490]").text(description); $(".js-view-count[data-work-id=20881490]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881490; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881490']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=20881490]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881490,"title":"Stochastic resonant media: Signal-to-noise ratio for the activator-inhibitor system through a quasivariational approach","translated_title":"","metadata":{"abstract":"ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatially extended stochastic system of the activator-inhibitor kind. In its bistable regime, through a quasivariational approach we make an approximate evaluation of the nonequilibrium potential for this system. The latter in turn allows us to obtain the probability for the decay of the (extended) metastable states and through it the signal-to-noise ratio within the framework of a two-state description. The analytical results show that this ratio increases with the activator’s diffusivity, whereas it exhibits nonmonotonic behavior against variation of the coupling between both fields.","publication_date":{"day":null,"month":null,"year":1998,"errors":{}},"publication_name":"Physical Review E"},"translated_abstract":"ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatially extended stochastic system of the activator-inhibitor kind. In its bistable regime, through a quasivariational approach we make an approximate evaluation of the nonequilibrium potential for this system. The latter in turn allows us to obtain the probability for the decay of the (extended) metastable states and through it the signal-to-noise ratio within the framework of a two-state description. The analytical results show that this ratio increases with the activator’s diffusivity, whereas it exhibits nonmonotonic behavior against variation of the coupling between both fields.","internal_url":"https://www.academia.edu/20881490/Stochastic_resonant_media_Signal_to_noise_ratio_for_the_activator_inhibitor_system_through_a_quasivariational_approach","translated_internal_url":"","created_at":"2016-01-26T23:57:21.890-08:00","preview_url":null,"current_user_can_edit":null,"current_user_is_owner":null,"owner_id":32568803,"coauthors_can_edit":true,"document_type":"paper","co_author_tags":[],"downloadable_attachments":[],"slug":"Stochastic_resonant_media_Signal_to_noise_ratio_for_the_activator_inhibitor_system_through_a_quasivariational_approach","translated_slug":"","page_count":null,"language":"en","content_type":"Work","summary":"ABSTRACT We have made an analytical study of the phenomenon of stochastic resonance in a spatially extended stochastic system of the activator-inhibitor kind. In its bistable regime, through a quasivariational approach we make an approximate evaluation of the nonequilibrium potential for this system. The latter in turn allows us to obtain the probability for the decay of the (extended) metastable states and through it the signal-to-noise ratio within the framework of a two-state description. The analytical results show that this ratio increases with the activator’s diffusivity, whereas it exhibits nonmonotonic behavior against variation of the coupling between both fields.","owner":{"id":32568803,"first_name":"Marcelo","middle_initials":"N","last_name":"Kuperman","page_name":"MKuperman","domain_name":"uncu","created_at":"2015-06-26T11:44:31.357-07:00","display_name":"Marcelo N Kuperman","url":"https://uncu.academia.edu/MKuperman"},"attachments":[],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering"},{"id":80414,"name":"Mathematical Sciences","url":"https://www.academia.edu/Documents/in/Mathematical_Sciences"},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences"},{"id":472459,"name":"Stochastic Resonance","url":"https://www.academia.edu/Documents/in/Stochastic_Resonance"},{"id":991311,"name":"Signal to Noise Ratio","url":"https://www.academia.edu/Documents/in/Signal_to_Noise_Ratio"}],"urls":[]}, dispatcherData: dispatcherData }); $(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-20881490-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881489"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/20881489/Nonlocal_interaction_effects_on_pattern_formation_in_population_dynamics"><img alt="Research paper thumbnail of Nonlocal interaction effects on pattern formation in population dynamics" class="work-thumbnail" src="https://attachments.academia-assets.com/41611754/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/20881489/Nonlocal_interaction_effects_on_pattern_formation_in_population_dynamics">Nonlocal interaction effects on pattern formation in population dynamics</a></div><div class="wp-workCard_item"><span>Physical review letters</span><span>, Jan 10, 2003</span></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">We consider a model for population dynamics such as for the evolution of bacterial colonies which...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">We consider a model for population dynamics such as for the evolution of bacterial colonies which is of the Fisher type but where the competitive interaction among individuals is nonlocal, and show that spatial structures with interesting features emerge. 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Agents are able to change their strategy, imitating that of the most successful neighbor. We observe that different topologies, ranging from regular lattices to random graphs, produce a variety of emergent behaviors. 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$(this).data('initialized', true); } }); $a.trackClickSource(".js-work-strip-work-link", "profile_work_strip") if (false) { Aedu.setUpFigureCarousel('profile-work-13248349-figures'); } }); </script> <div class="js-work-strip profile--work_container" data-work-id="20881485"><div class="profile--work_thumbnail hidden-xs"><a class="js-work-strip-work-link" data-click-track="profile-work-strip-thumbnail" href="https://www.academia.edu/20881485/Analytic_considerations_in_the_study_of_spatial_patterns_arising_from_non_local_interaction_effects_in_population_dynamics"><img alt="Research paper thumbnail of Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics" class="work-thumbnail" src="https://attachments.academia-assets.com/41611652/thumbnails/1.jpg" /></a></div><div class="wp-workCard wp-workCard_itemContainer"><div class="wp-workCard_item wp-workCard--title"><a class="js-work-strip-work-link text-gray-darker" data-click-track="profile-work-strip-title" href="https://www.academia.edu/20881485/Analytic_considerations_in_the_study_of_spatial_patterns_arising_from_non_local_interaction_effects_in_population_dynamics">Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics</a></div><div class="wp-workCard_item"><span class="js-work-more-abstract-truncated">Simple analytic considerations are applied to recently discovered patterns in a generalized Fishe...</span><a class="js-work-more-abstract" data-broccoli-component="work_strip.more_abstract" data-click-track="profile-work-strip-more-abstract" href="javascript:;"><span> more </span><span><i class="fa fa-caret-down"></i></span></a><span class="js-work-more-abstract-untruncated hidden">Simple analytic considerations are applied to recently discovered patterns in a generalized Fisher equation for population dynamics. The generalization consists of the inclusion of non-local competition interactions among individuals. We first show how stability arguments yield a condition for pattern formation involving the ratio of the pattern wavelength and the effective diffusion length of the individuals. We develop a mode-mode</span></div><div class="wp-workCard_item"><div class="carousel-container carousel-container--sm" id="profile-work-20881485-figures"><div class="prev-slide-container js-prev-button-container"><button aria-label="Previous" class="carousel-navigation-button js-profile-work-20881485-figures-prev"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">arrow_back_ios</span></button></div><div class="slides-container js-slides-container"><figure class="figure-slide-container"><a href="https://www.academia.edu/figures/33214600/figure-1-the-dispersion-relation-between-the-dimensionless"><img alt="FIG. 1: The dispersion relation (9) between the dimensionless growth exponent y and wavenumber k’ plotted for different values of the ratio 7 of the influence function range to the diffusion length (see text). Values of 7 are 50 (solid line), 10 (dashed line), and 2 (dotted line). Patterns appear for those values of k’ for which ¢ is positive. " class="figure-slide-image" src="https://figures.academia-assets.com/41611652/figure_001.jpg" /></a></figure><figure class="figure-slide-container"><a href="https://www.academia.edu/figures/33214603/figure-2-the-dispersion-relation-between-the-dimension-less"><img alt="FIG. 2: The dispersion relation between the dimension- less growth exponent y and wavenumber k plotted for the intermediate influence function. Values of 7 are as in Fig. 1: 50 (solid line), 10 (dashed line), and 2 (dotted line). Patterns appear for those values of k’ for which p is positive. " class="figure-slide-image" src="https://figures.academia-assets.com/41611652/figure_002.jpg" /></a></figure><figure class="figure-slide-container"><a href="https://www.academia.edu/figures/33214606/figure-3-in-explicitly-noting-that-mn-and-using-the"><img alt="in @), explicitly noting that k, = mn/L, and using the orthogonality properties of trigonometric functions, ob- tain separate equations for the n = 0 mode, Equations and are the complete set of equations for the evolution of the amplitudes of all modes in the non-local problem given by Eq. @). The appearance of stable patterns only for those values of k,, for which y is positive as seen in our Figs. 1 and 2, suggests that we envisage an interaction between only two modes, the zero mode and the one whose growth we examine, say n = m. In a situation as in the plots shown in which y > 0 only for a small k— range, the discrete nature of the allowed k values could lead to only a single non-zero mode lying in the stable range. Then we would have only two coupled nonlinear equations for the mode amplitudes, " class="figure-slide-image" src="https://figures.academia-assets.com/41611652/figure_003.jpg" /></a></figure></div><div class="next-slide-container js-next-button-container"><button aria-label="Next" class="carousel-navigation-button js-profile-work-20881485-figures-next"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">arrow_forward_ios</span></button></div></div></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="ec95eaa4b29be08d6d18dd5b978684a0" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611652,"asset_id":20881485,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611652/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881485"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881485"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881485; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881485]").text(description); $(".js-view-count[data-work-id=20881485]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881485; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881485']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "ec95eaa4b29be08d6d18dd5b978684a0" } } $('.js-work-strip[data-work-id=20881485]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881485,"title":"Analytic considerations in the study of spatial patterns arising from non-local interaction effects in population dynamics","translated_title":"","metadata":{"abstract":"Simple analytic considerations are applied to recently discovered patterns in a generalized Fisher equation for population dynamics. 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They promoted a dramatic change in how epidemiologists thought of the propagation of infectious diseases. In the last decade, when the traditional epidemiological models seemed to be exhausted, new types of models were developed. These new models incorporated concepts from graph theory to describe and model the underlying social structure. Many of these works merely produced a more detailed extension of the previous results, but some others triggered a completely new paradigm in the mathematical study of epidemic processes. In this review, we will introduce the basic concepts of epidemiology, epidemic modeling and networks, to nally provide a brief description of the most relevant results in the eld. *</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><a id="fc894f3859439d655bdab61fb1fecba2" class="wp-workCard--action" rel="nofollow" data-click-track="profile-work-strip-download" data-download="{"attachment_id":41611743,"asset_id":20881484,"asset_type":"Work","button_location":"profile"}" href="https://www.academia.edu/attachments/41611743/download_file?s=profile"><span><i class="fa fa-arrow-down"></i></span><span>Download</span></a><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="20881484"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="20881484"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 20881484; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=20881484]").text(description); $(".js-view-count[data-work-id=20881484]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 20881484; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='20881484']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (true){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "fc894f3859439d655bdab61fb1fecba2" } } $('.js-work-strip[data-work-id=20881484]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":20881484,"title":"Invited review: Epidemics on social networks","translated_title":"","metadata":{"grobid_abstract":"Since its rst formulations almost a century ago, mathematical models for disease spreading contributed to understand, evaluate and control the epidemic processes. 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The walker has the capacity to remember the time of the last visit to each site and the step taken from there. This memory affects the behavior of the walker each time it reaches an already visited site modulating the probability of repeating previous moves. This probability increases with the time elapsed from the last visit. A biological analog of the walker is a frugivore, with the lattice sites representing plants. The memory effect can be associated with the time needed by plants to recover its fruit load. We propose two different strategies, conservative and explorative, as well as intermediate cases, leading to nonintuitive interesting results, such as the emergence of cycles.</span></div><div class="wp-workCard_item wp-workCard--actions"><span class="work-strip-bookmark-button-container"></span><span class="wp-workCard--action visible-if-viewed-by-owner inline-block" style="display: none;"><span class="js-profile-work-strip-edit-button-wrapper profile-work-strip-edit-button-wrapper" data-work-id="13248344"><a class="js-profile-work-strip-edit-button" tabindex="0"><span><i class="fa fa-pencil"></i></span><span>Edit</span></a></span></span></div><div class="wp-workCard_item wp-workCard--stats"><span><span><span class="js-view-count view-count u-mr2x" data-work-id="13248344"><i class="fa fa-spinner fa-spin"></i></span><script>$(function () { var workId = 13248344; window.Academia.workViewCountsFetcher.queue(workId, function (count) { var description = window.$h.commaizeInt(count) + " " + window.$h.pluralize(count, 'View'); $(".js-view-count[data-work-id=13248344]").text(description); $(".js-view-count[data-work-id=13248344]").attr('title', description).tooltip(); }); });</script></span></span><span><span class="percentile-widget hidden"><span class="u-mr2x work-percentile"></span></span><script>$(function () { var workId = 13248344; window.Academia.workPercentilesFetcher.queue(workId, function (percentileText) { var container = $(".js-work-strip[data-work-id='13248344']"); container.find('.work-percentile').text(percentileText.charAt(0).toUpperCase() + percentileText.slice(1)); container.find('.percentile-widget').show(); container.find('.percentile-widget').removeClass('hidden'); }); });</script></span></div><div id="work-strip-premium-row-container"></div></div></div><script> require.config({ waitSeconds: 90 })(["https://a.academia-assets.com/assets/wow_profile-a9bf3a2bc8c89fa2a77156577594264ee8a0f214d74241bc0fcd3f69f8d107ac.js","https://a.academia-assets.com/assets/work_edit-ad038b8c047c1a8d4fa01b402d530ff93c45fee2137a149a4a5398bc8ad67560.js"], function() { // from javascript_helper.rb var dispatcherData = {} if (false){ window.WowProfile.dispatcher = window.WowProfile.dispatcher || _.clone(Backbone.Events); dispatcherData = { dispatcher: window.WowProfile.dispatcher, downloadLinkId: "-1" } } $('.js-work-strip[data-work-id=13248344]').each(function() { if (!$(this).data('initialized')) { new WowProfile.WorkStripView({ el: this, workJSON: {"id":13248344,"title":"Random-walk model to study cycles emerging from the exploration-exploitation trade-off","translated_title":"","metadata":{"abstract":"We present a model for a random walk with memory, phenomenologically inspired in a biological system. The walker has the capacity to remember the time of the last visit to each site and the step taken from there. This memory affects the behavior of the walker each time it reaches an already visited site modulating the probability of repeating previous moves. This probability increases with the time elapsed from the last visit. A biological analog of the walker is a frugivore, with the lattice sites representing plants. The memory effect can be associated with the time needed by plants to recover its fruit load. We propose two different strategies, conservative and explorative, as well as intermediate cases, leading to nonintuitive interesting results, such as the emergence of cycles.","publication_date":{"day":null,"month":null,"year":2015,"errors":{}},"publication_name":"Physical Review E"},"translated_abstract":"We present a model for a random walk with memory, phenomenologically inspired in a biological system. 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