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(PDF) Some Characteristics and Classifications of Mathematical And Epidemic Models
<!DOCTYPE html> <html > <head> <meta charset="utf-8"> <meta rel="search" type="application/opensearchdescription+xml" href="/open_search.xml" title="Academia.edu"> <meta content="width=device-width, initial-scale=1" name="viewport"> <meta name="google-site-verification" content="bKJMBZA7E43xhDOopFZkssMMkBRjvYERV-NaN4R6mrs"> <meta name="csrf-param" content="authenticity_token" /> <meta name="csrf-token" content="b6oFQhgEDrKAZQHTe6lol4quQK4lEhhZ1RpC1h1ZDZ3mzYXQPljvvVN00ZxWEP4kdvposREviVFe5V2q0o0-1Q" /> <meta name="citation_title" content="Some Characteristics and Classifications of Mathematical And Epidemic Models" /> <meta name="citation_author" content="IOSR Journals" /> <meta name="twitter:card" content="summary" /> <meta name="twitter:url" content="https://www.academia.edu/37467232/Some_Characteristics_and_Classifications_of_Mathematical_And_Epidemic_Models" /> <meta name="twitter:title" content="Some Characteristics and Classifications of Mathematical And Epidemic Models" /> <meta name="twitter:description" content="Mathematical models are important basic tools in basic scientific research in many areas of biology, including physiology, ecology, evolution, toxicology, immunology, natural resource management, and conversation biology. Mathematical biology may" /> <meta name="twitter:image" content="https://0.academia-photos.com/2594470/1482486/33690215/s200_iosr.journals.png" /> <meta property="fb:app_id" content="2369844204" /> <meta property="og:type" content="article" /> <meta property="og:url" content="https://www.academia.edu/37467232/Some_Characteristics_and_Classifications_of_Mathematical_And_Epidemic_Models" /> <meta property="og:title" content="Some Characteristics and Classifications of Mathematical And Epidemic Models" /> <meta property="og:image" content="http://a.academia-assets.com/images/open-graph-icons/fb-paper.gif" /> <meta property="og:description" content="Mathematical models are important basic tools in basic scientific research in many areas of biology, including physiology, ecology, evolution, toxicology, immunology, natural resource management, and conversation biology. Mathematical biology may" /> <meta property="article:author" content="https://independent.academia.edu/iosrjournals" /> <meta name="description" content="Mathematical models are important basic tools in basic scientific research in many areas of biology, including physiology, ecology, evolution, toxicology, immunology, natural resource management, and conversation biology. Mathematical biology may" /> <title>(PDF) Some Characteristics and Classifications of Mathematical And Epidemic Models</title> <link rel="canonical" href="https://www.academia.edu/37467232/Some_Characteristics_and_Classifications_of_Mathematical_And_Epidemic_Models" /> <script async src="https://www.googletagmanager.com/gtag/js?id=G-5VKX33P2DS"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-5VKX33P2DS', { cookie_domain: 'academia.edu', send_page_view: false, }); gtag('event', 'page_view', { 'controller': "single_work", 'action': "show", 'controller_action': 'single_work#show', 'logged_in': 'false', 'edge': 'unknown', // Send nil if there is no A/B test bucket, in case some records get logged // with missing data - that way we can distinguish between the two cases. // ab_test_bucket should be of the form <ab_test_name>:<bucket> 'ab_test_bucket': null, }) </script> <script> var $controller_name = 'single_work'; var $action_name = "show"; var $rails_env = 'production'; var $app_rev = '1e60a92a442ff83025cbe4f252857ee7c49c0bbe'; var $domain = 'academia.edu'; var $app_host = "academia.edu"; var $asset_host = "academia-assets.com"; var $start_time = new Date().getTime(); var $recaptcha_key = "6LdxlRMTAAAAADnu_zyLhLg0YF9uACwz78shpjJB"; var $recaptcha_invisible_key = "6Lf3KHUUAAAAACggoMpmGJdQDtiyrjVlvGJ6BbAj"; var $disableClientRecordHit = false; </script> <script> window.require = { config: function() { return function() {} } } </script> <script> window.Aedu = window.Aedu || {}; window.Aedu.hit_data = null; window.Aedu.serverRenderTime = new Date(1740575759000); window.Aedu.timeDifference = new Date().getTime() - 1740575759000; </script> <script type="application/ld+json">{"@context":"https://schema.org","@type":"ScholarlyArticle","abstract":"Mathematical models are important basic tools in basic scientific research in many areas of biology, including physiology, ecology, evolution, toxicology, immunology, natural resource management, and conversation biology. Mathematical biology may sound like a narrow discipline, but it encompasses all of biology and virtually all of stress of mathematical sciences, including Statistic, Operational research and scientific computing. In this paper we investigate and discuss the characteristics and classificationsof mathematical and epidemic models.","author":[{"@context":"https://schema.org","@type":"Person","name":"IOSR Journals","url":"https://independent.academia.edu/iosrjournals"}],"contributor":[],"dateCreated":"2018-09-24","dateModified":"2018-09-24","headline":"Some Characteristics and Classifications of Mathematical And Epidemic Models","image":"https://attachments.academia-assets.com/57435808/thumbnails/1.jpg","inLanguage":"en","keywords":["Applied Mathematics","Computer Science"],"publisher":{"@context":"https://schema.org","@type":"Organization","name":null},"sourceOrganization":[{"@context":"https://schema.org","@type":"EducationalOrganization","name":null}],"thumbnailUrl":"https://attachments.academia-assets.com/57435808/thumbnails/1.jpg","url":"https://www.academia.edu/37467232/Some_Characteristics_and_Classifications_of_Mathematical_And_Epidemic_Models"}</script><style 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window.loswp.work = {"work":{"id":37467232,"created_at":"2018-09-24T00:03:34.458-07:00","from_world_paper_id":null,"updated_at":"2021-01-12T22:16:41.534-08:00","_data":{"abstract":"Mathematical models are important basic tools in basic scientific research in many areas of biology, including physiology, ecology, evolution, toxicology, immunology, natural resource management, and conversation biology. Mathematical biology may sound like a narrow discipline, but it encompasses all of biology and virtually all of stress of mathematical sciences, including Statistic, Operational research and scientific computing. In this paper we investigate and discuss the characteristics and classificationsof mathematical and epidemic models."},"document_type":"other","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Some Characteristics and Classifications of Mathematical And Epidemic Models","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [2594470]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; window.loswp.useOptimizedScribd4genScript = false; window.loginModal = {}; window.loginModal.appleClientId = 'edu.academia.applesignon'; window.userInChina = "false";</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":57435808,"attachmentType":"pdf"}"><img alt="First page of “Some Characteristics and Classifications of Mathematical And Epidemic Models”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/57435808/mini_magick20190110-27366-pm7ers.png?1547176881" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/images/single_work_splash/adobe_icon.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Some Characteristics and Classifications of Mathematical And Epidemic Models</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="2594470" href="https://independent.academia.edu/iosrjournals"><img alt="Profile image of IOSR Journals" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/2594470/1482486/33690215/s65_iosr.journals.png" />IOSR Journals</a></div><div class="ds-work-card--detail"><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">3 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 37467232; 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if (!viewCountBody) { throw new Error('Failed to find work views element'); } viewCountBody.textContent = `${commaizedViewCount} views`; } catch (error) { // Remove the whole views element if there was some issue parsing. document.getElementById('work-metadata-view-count')?.parentNode?.remove(); throw new Error(`Failed to parse view count: ${viewCount}`, error); } }; // If the DOM is still loading, wait for it to be ready before updating the view count. if (document.readyState === "loading") { document.addEventListener('DOMContentLoaded', () => { updateViewCount(viewCount); }); // Otherwise, just update it immediately. } else { updateViewCount(viewCount); } })();</script></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">Mathematical models are important basic tools in basic scientific research in many areas of biology, including physiology, ecology, evolution, toxicology, immunology, natural resource management, and conversation biology. Mathematical biology may sound like a narrow discipline, but it encompasses all of biology and virtually all of stress of mathematical sciences, including Statistic, Operational research and scientific computing. In this paper we investigate and discuss the characteristics and classificationsof mathematical and epidemic models.</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":57435808,"attachmentType":"pdf","workUrl":"https://www.academia.edu/37467232/Some_Characteristics_and_Classifications_of_Mathematical_And_Epidemic_Models"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--work-card","attachmentId":57435808,"attachmentType":"pdf","workUrl":"https://www.academia.edu/37467232/Some_Characteristics_and_Classifications_of_Mathematical_And_Epidemic_Models"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div><div class="ds-signup-banner-trigger-container"><div class="ds-signup-banner-trigger ds-signup-banner-trigger-control"></div></div><div class="ds-signup-banner ds-signup-banner-control"><div id="ds-signup-banner-close-button"><button class="ds2-5-button ds2-5-button--secondary ds2-5-button--inverse"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">close</span></button></div><div class="ds-signup-banner-ctas" data-impression-entity-id="37467232" data-impression-entity-type="2" data-impression-source="signup-banner"><img src="//a.academia-assets.com/images/academia-logo-capital-white.svg" /><h4 class="ds2-5-heading-serif-sm">Sign up for access to the world's latest research</h4><button class="ds2-5-button ds2-5-button--inverse ds2-5-button--full-width js-swp-download-button" data-signup-modal="{"location":"signup-banner"}">Sign up for free<span class="material-symbols-outlined" style="font-size: 20px" translate="no">arrow_forward</span></button></div><div class="ds-signup-banner-divider"></div><div class="ds-signup-banner-reasons"><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Get notified about relevant papers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Save papers to use in your research</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Join the discussion with peers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Track your impact</span></div></div></div><script>(() => { // Set up signup banner show/hide behavior: // 1. 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data-client_id="331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b" data-doc_id="57435808" data-landing_url="https://www.academia.edu/37467232/Some_Characteristics_and_Classifications_of_Mathematical_And_Epidemic_Models" data-login_uri="https://www.academia.edu/registrations/google_one_tap" data-moment_callback="onGoogleOneTapEvent" id="g_id_onload"></div><div class="ds-top-related-works--grid-container"><div class="ds-related-content--container ds-top-related-works--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="0" data-entity-id="31357612" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/31357612/Some_mathematical_models_in_biology">Some mathematical models in biology</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" 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The dominant eigenvalue λ 1 of projection matrix L is con sidered the growth potential of a population. It provides for a quantitative measure of species adaptation to the given environment, with the measure being adequate and precise, given data of the "identified individu als" type. The case of "identified individuals with uncertain parents" gives rise to uncertainty in the status specific reproduction rates, which is eliminated in a unique way (for a broad class of structures and life cycle graphs) by maximizing λ 1 (L) under the constraints ensuing from the data on and knowledge about species biology. The paradigm of linearity gives way to the nonlinear models when species interactions such as com petition for shared resources are to be modeled and where the outcome of interaction depends on the popu lation structure of the competitors. This circumstance dictates the need for synthesis of the two paradigms, which is achieved in nonlinear matrix operators as models of interaction between the species whose popula tions are discrete structured.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Two paradigms in mathematical population biology: An attempt at synthesis","attachmentId":53651450,"attachmentType":"pdf","work_url":"https://www.academia.edu/33638724/Two_paradigms_in_mathematical_population_biology_An_attempt_at_synthesis","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/33638724/Two_paradigms_in_mathematical_population_biology_An_attempt_at_synthesis"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="83980337" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/83980337/Evaluating_the_connectivity_continuity_and_distance_norm_in_mathematical_models_for_community_ecology_epidemiology_and_multicellular_pathway_prediction">Evaluating the connectivity, continuity and distance norm in mathematical models for community ecology, epidemiology and multicellular pathway prediction</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="28203632" href="https://independent.academia.edu/WAllaerts">Wilfried Allaerts</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Physics: Conference Series, 2019</p><p class="ds-related-work--abstract ds2-5-body-sm">The main global threats of the biosphere on our planet, such as a global biodiversity impairment, global health issues in the developing countries, associated with an environmental decay, unnoticed in previous eras, the rise of greenhouse gasses and global warming, urge for a new evaluation of the applicability of mathematical modelling in the physical sciences and its benefits for society. In this paper, we embark on a historical review of the mathematical models developed in the previous century, that were devoted to the study of the geographical spread of biological infections. The basic notions of connectivity, continuity and distance norm as applied by successive bio-mathematicians, starting with the names of Volterra, Turing and Kendall, are highlighted in order to demonstrate their usefulness in several new areas of bio-mathematical research. These new areas include the well-known fields of community ecology and epidemiology, but also the less well-known field of multicellula...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Evaluating the connectivity, continuity and distance norm in mathematical models for community ecology, epidemiology and multicellular pathway prediction","attachmentId":89153902,"attachmentType":"pdf","work_url":"https://www.academia.edu/83980337/Evaluating_the_connectivity_continuity_and_distance_norm_in_mathematical_models_for_community_ecology_epidemiology_and_multicellular_pathway_prediction","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/83980337/Evaluating_the_connectivity_continuity_and_distance_norm_in_mathematical_models_for_community_ecology_epidemiology_and_multicellular_pathway_prediction"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="30986781" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/30986781/Mathematical_Models_of_Epidemics">Mathematical Models of Epidemics</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="59039382" href="https://independent.academia.edu/ChristopherLin7">Christopher Lin</a></div><p class="ds-related-work--abstract ds2-5-body-sm">E pidemics occur often, and result in both severe human and monetary losses. However mathematical modeling of the spread of infectious diseases can reveal important insights into their behavior, and help scientists and policy makers prevent or reduce their adverse impacts.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Mathematical Models of Epidemics","attachmentId":51419019,"attachmentType":"pdf","work_url":"https://www.academia.edu/30986781/Mathematical_Models_of_Epidemics","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/30986781/Mathematical_Models_of_Epidemics"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":57435808,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":57435808,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_57435808" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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