Document Zbl 1017.92027

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S.</a>; <a href="/authors/flores.david-a" title="Author Profile">Flores, David A.</a>; <a href="/authors/ratnayake.ruwan-k" title="Author Profile">Ratnayake, Ruwan K.</a>; <a href="/authors/herbold.john-r" title="Author Profile">Herbold, John R.</a></div> <h2 class="title"> <strong>Discrete-time deterministic and stochastic models for the spread of rabies.</strong> <i>(English)</i> <a class="label nowrap" href="/1017.92027">Zbl 1017.92027</a> </h2> <div class="source"> <a href="/serials/331" title="Journal Profile">Appl. Math. Comput.</a> <a href="/?q=in%3A92164" title="Articles in this Issue">132, No. 2-3, 271-292 (2002)</a>. </div> <div class="abstract">Summary: Discrete spatial and temporal models for the spread and control of rabies are developed, analyzed and simulated. First, a deterministic model is formulated, then an analogous stochastic model. The models are structured with respect to space $(m$ patches), age (juveniles and adults) and disease state. For each patch there are six state variables corresponding to either juveniles or adults and their disease state: susceptible, infected, or vaccinated. The models have seven stages which repeat every year.<br class="zbmathjax-paragraph">The impact of different vaccination strategies on the dynamics of the deterministic and stochastic models are compared. In particular, the relationships among the vaccination proportion, the width of the vaccination barrier, the initial number infected, and the transmissibility of the disease are examined. An estimate for the probability of disease elimination is given for the stochastic model. It is shown that in some cases where the deterministic model predicts disease persistence, the stochastic model predicts a high probability of disease elimination.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A1861211">Cited in <strong>17</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A92D30" title="MSC2020">92D30</a> </td> <td class="space"> Epidemiology </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65C20" title="MSC2020">65C20</a> </td> <td class="space"> Probabilistic models, generic numerical methods in probability and statistics </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Arabies">rabies</a>; <a href="/?q=ut%3Astructured+model">structured model</a>; <a href="/?q=ut%3Asimulations">simulations</a>; <a href="/?q=ut%3Adeterministic+model">deterministic model</a>; <a href="/?q=ut%3Astochastic+model">stochastic model</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1017.92027" data-ciurl="/ci/01861211" data-biburl="/bibtex/01861211.bib" data-amsurl="/amsrefs/01861211.bib" data-xmlurl="/xml/01861211.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01861211.pdf" title="Zbl 1017.92027 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/S0096-3003(01)00192-8" aria-label="DOI for “Discrete-time deterministic and stochastic models for the spread of rabies”" title="10.1016/S0096-3003(01)00192-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Rupprecht, J.; Smith, S.; Fekadu, M.; Childs, J. 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