Document Zbl 1038.92034

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R.</a>; <a href="/authors/roberts.michael-g" title="Author Profile">Roberts, M. G.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></div> <h2 class="title"> <strong>The metapopulation dynamics of an infectious disease: Tuberculosis in possums.</strong> <i>(English)</i> <a class="label nowrap" href="/1038.92034">Zbl 1038.92034</a> </h2> <div class="source"> <a href="/serials/737" title="Journal Profile">Theor. Popul. Biol.</a> <a href="/?q=in%3A85413" title="Articles in this Issue">61, No. 1, 15-29 (2002)</a>. </div> <div class="abstract">Summary: An SEI metapopulation model is developed for the spread of an infectious agent by migration. The model portrays two age classes on a number of patches connected by migration routes which are used as host animals mature. A feature of this model is that the basic reproduction ratio may be computed directly, using a scheme that separates topography, demography, and epidemiology. We also provide formulas for individual patch basic reproduction numbers and discuss their connection with the basic reproduction ratio for the system.<br class="zbmathjax-paragraph">The model is applied to the problem of spatial spread of bovine tuberculosis in a possum population. The temporal dynamics of infection are investigated for some generic networks of migration links, and the basic reproduction ratio is computed – its value is not greatly different from that for a homogeneous model. Three scenarios are considered for the control of bovine tuberculosis in possums where the spatial aspect is shown to be crucial for the design of disease management operations.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A2055593">Cited in <strong>29</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%3A37N25" title="MSC2020">37N25</a> </td> <td class="space"> Dynamical systems in biology </td> </tr></table> </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 1038.92034" data-ciurl="/ci/02055593" data-biburl="/bibtex/02055593.bib" data-amsurl="/amsrefs/02055593.bib" data-xmlurl="/xml/02055593.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/02055593.pdf" title="Zbl 1038.92034 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/10.1006/tpbi.2001.1553" aria-label="DOI for “The metapopulation dynamics of an infectious disease: Tuberculosis in possums.”" title="10.1006/tpbi.2001.1553">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://dspace.library.uu.nl/handle/1874/8114" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Anderson, R. 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Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation, Wiley Series in Mathematical and Computational Biology (2000), Wiley: Wiley Chichester · <a href="/0997.92505" class="nowrap">Zbl 0997.92505</a></td> </tr><tr> <td>[14]</td> <td class="space">Diekmann, O.; Heesterbeek, J. A.P.; Metz, J. A.J., On the definition and computation of the basic reproduction ratio $R_0$ in models for infectious diseases in heterogeneous populations, J. Math. Biol., 28, 365-382 (1990) · <a href="/0726.92018" class="nowrap">Zbl 0726.92018</a></td> </tr><tr> <td>[15]</td> <td class="space">Dobson, A. P.; Grenfell, B. T., Introduction, (Grenfell, B. T.; Dobson, A. 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