Document Zbl 0854.92018

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A. P.</a>; <a href="/authors/dietz.klaus" title="Author Profile">Dietz, K.</a></div> <h2 class="title"> <strong>The concept of $R_ 0$ in epidemic theory.</strong> <i>(English)</i> <a class="label nowrap" href="/0854.92018">Zbl 0854.92018</a> </h2> <div class="source"> <a href="/serials/720" title="Journal Profile">Stat. Neerl.</a> <a href="/?q=in%3A31749" title="Articles in this Issue">50, No. 1, 89-110 (1996)</a>. </div> <div class="abstract">Summary: In epidemiology $R_0$ denotes the average number of secondary cases of an infectious disease that one case would generate in a completely susceptible population. This concept is among the foremost and most valuable ideas that mathematical thinking has brought to epidemic theory. We first review the historical development of $R_0$, from demography to epidemiology, proceed to give an exposition of the recently formalised theory to define and calculate $R_0$ for structured populations, return to the interaction of demography and epidemiology for an example of the use of the concept to study vaccination campaigns and finally we deal with statistical aspects of estimating $R_0$. In the appendix we discuss some issues of current attention.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A946903">Cited in <strong>68</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%3A91D20" title="MSC2020">91D20</a> </td> <td class="space"> Mathematical geography and demography </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62P10" title="MSC2020">62P10</a> </td> <td class="space"> Applications of statistics to biology and medical sciences; meta analysis </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Athreshold+behaviour">threshold behaviour</a>; <a href="/?q=ut%3Ademography">demography</a>; <a href="/?q=ut%3Astructured+populations">structured populations</a>; <a href="/?q=ut%3Avaccination+campaigns">vaccination campaigns</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 0854.92018" data-ciurl="/ci/00946903" data-biburl="/bibtex/00946903.bib" data-amsurl="/amsrefs/00946903.bib" data-xmlurl="/xml/00946903.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00946903.pdf" title="Zbl 0854.92018 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/10.1111/j.1467-9574.1996.tb01482.x" aria-label="DOI for “The concept of $R_ 0$ in epidemic theory”" title="10.1111/j.1467-9574.1996.tb01482.x">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://dspace.library.uu.nl/handle/1874/8591" 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">Adler F. 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