J. A. P. Heesterbeek - Author Profile

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type="text" name="q" value="ai:heesterbeek.j-a-p" aria-label="Search for authors" placeholder="Search for authors" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ai:</span><span>  </span>author code</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>author name</a></li> <li><a href="#"><span class="token item">any:</span><span>  </span>anywhere</a></li> <li><a href="#"><span class="token item">aw:</span><span>  </span>award</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>main field</a></li> <li><a href="#"><span class="token item">cm:</span><span>  </span>collectives of</a></li> <li><a href="#"><span class="token item">co:</span><span>  </span>in collective</a></li> <li><a href="#"><span class="token item">en:</span><span>  </span>external id type</a></li> <li><a href="#"><span class="token item">fn:</span><span>  </span>first name</a></li> <li><a href="#"><span class="token item">ln:</span><span>  </span>last name</a></li> <li><a href="#"><span class="token item">py:</span><span>  </span>publication year</a></li> <li><a href="#"><span class="token item">rv:</span><span>  </span>reviewer</a></li> <li><a href="#"><span class="token item">st:</span><span>  </span>state</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab   </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>  </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Simon+Donald%2A">Simon Donald*</a></span> <span class="search-explanation" role="cell" role="cell">Search in <strong>all parts</strong> of an author's name (results contain <em>Simon, Donald</em> M. and <em>Donald</em>son, <em>Simon</em> Kirwan).</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=ln%3A+Donald%2A+fn%3A+Simon">ln: Donald* fn: Simon</a></span> <span class="search-explanation" role="cell" role="cell">Search for specified family (<strong>ln</strong>) and given (<strong>fn</strong>) name.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Stefan+M%C3%BCller+cc%3A49">au: Stefan Müller cc:49</a></span> <span class="search-explanation" role="cell" role="cell">Combine name search (<strong>au</strong>) with main MSC fields (<strong>cc</strong>).</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Helga+Bunke">au: Helga Bunke</a></span> <span class="search-explanation" role="cell" role="cell">Search results include <strong>name variations</strong>, in particular <strong>name changes</strong>, different <strong>transliterations</strong> and <strong>pseudonyms</strong>. Names of collectives will be displayed as a separate entity.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%28st%3Ar+%26+b%29+%7C+%28st%3Ao%29">(st:r & b) | (st:o)</a></span> <span class="search-explanation" role="cell" role="cell">Search results include all <strong><u>r</u>eviewers</strong> with <strong><u>b</u>iographic information</strong> or <strong>c<u>o</u>llectives</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%28en%3AMGP+%7C+wikidata%29+ln%3Aa%2A">(en:MGP | wikidata) ln:a*</a></span> <span class="search-explanation" role="cell" role="cell">Search results include all authors having either an <strong><u>en</u>try</strong> in the <em>Math Genealogy</em> Project or in <em>Wikidata</em> and whose family name starts with <em>A</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=aw%3A+Fields+Abel">aw: Fields Abel</a></span> <span class="search-explanation" role="cell" role="cell">Search for all <em>Fields Medal</em> <strong><u>aw</u>ard winners</strong> who also received an <em>Abel Prize</em>. The <strong>&</strong> operator is default and ommitted here.</span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Fields</h2> <div id="help-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ai</strong> </span> <span class="search-explanation" role="cell" role="cell"> zbMATH author ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>au</strong> </span> <span class="search-explanation" role="cell" role="cell"> Author name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>any</strong> </span> <span class="search-explanation" role="cell" role="cell"> Includes ai, au, aw, cc </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>aw</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of an award (to find laureates) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cc</strong> </span> <span class="search-explanation" role="cell" role="cell"> Main Fields of the author (given by first two MSC digits) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cm</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of a collective (to find members of this collective) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>co</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of an author (to find collectives the author is a member of) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>en</strong> </span> <span class="search-explanation" role="cell" role="cell"> External author ID: ORCID, MGP, Wikidata object number and others </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>fn</strong> </span> <span class="search-explanation" role="cell" role="cell"> First name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ln</strong> </span> <span class="search-explanation" role="cell" role="cell"> Last name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>py</strong> </span> <span class="search-explanation" role="cell" role="cell"> Year(s) in which the author has published. Interval search with “-” </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>rv</strong> </span> <span class="search-explanation" role="cell" role="cell"> Reviewer ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>st</strong> </span> <span class="search-explanation" role="cell" role="cell"> State: has biographic references (<em>st:b</em>), is cited (<em>st:c</em>), is collective (st:o), has references (<em>st:r</em>) </span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Operators</h2> <div id="operators-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a & b</strong></span> <span class="search-explanation" role="cell" role="cell">logical and</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a | b</strong></span> <span class="search-explanation" role="cell" role="cell">logical or</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>!ab</strong></span> <span class="search-explanation" role="cell" role="cell">logical not</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>abc*</strong></span> <span class="search-explanation" role="cell" role="cell">right wildcard</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>ab c</strong></span> <span class="search-explanation" role="cell" role="cell">phrase</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>(ab c)</strong></span> <span class="search-explanation" role="cell" role="cell">parentheses</span> </div> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <form class="form-inline" name="authors" method="get" action="/authors/"> <div class="authors structured" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"><span tabindex="0" class="glyphicon glyphicon-question-sign" title="One-Line Search allows for free logical combinations of search fields" aria-label="One-Line Search allows for free logical combinations of search fields" data-placement="bottom"></span> <a style="display: inline-block;" href="#">One-Line Search <span class="glyphicon glyphicon-search"></span></a></li> </ul> </div> <div class="clearfix"></div> <div class="container-fluid two-columns"> <div class="row"> <div class="col-xs-12 col-sm-6"> <div class="form-group field ln"> <label for="ln">Family Name:</label> <input id="ln" name="ln" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field fn"> <label for="fn">Given Name:</label> <input id="fn" name="fn" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field cc"> <label for="cc">Main Fields:</label> <input id="cc" name="cc" class="form-control" type="text" value="" placeholder=""> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="field given by first two MSC digits" aria-label="field given by first two MSC digits"></span> </div> <div class="form-group field st checkboxes-wrapper"> <label>Status:</label> <div class="checkboxes"> <input type="checkbox" id="st-z" name="st" class="form-control" value="z"> <label for="st-z" title="restrict to Authors who are zbMATH Reviewers"> Reviewer</label><br> <input type="checkbox" id="st-b" name="st" class="form-control" value="b"> <label for="st-b" title="restrict to Authors having Biographic References"> Biographic References</label><br> </div> </div> </div> <div class="col-xs-12 col-sm-6"> <div class="form-group field ai"> <label for="ai">zbMATH Author ID:</label> <input id="ai" name="ai" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field en"> <label for="en">External ID:</label> <input id="en" name="en" class="form-control" type="text" value="" placeholder=""> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="e.g. ORCID, MGP, …" aria-label="e.g. ORCID, MGP, ..."></span> </div> <div class="form-group field any"> <label for="any">Anywhere:</label> <input id="any" name="any" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field aw"> <label for="aw">Awards:</label> <select id="aw" name="aw" class="form-control"> <option value=""></option> <option value="Abel Prize">Abel Prize</option> <option value="Breakthrough Prize in Mathematics">Breakthrough Prize in Mathematics</option> <option value="Carl Friedrich Gauss Prize">Carl Friedrich Gauss Prize</option> <option value="Chern Medal">Chern Medal</option> <option value="Clay Research Award">Clay Research Award</option> <option value="EMS Prize">EMS Prize</option> <option value="Fields Medal">Fields Medal</option> <option value="Kyoto Prize in Basic Sciences">Kyoto Prize in Basic Sciences</option> <option value="Nevanlinna Prize">Nevanlinna Prize</option> <option value="Nobel Memorial Prize in Economic Sciences">Nobel Memorial Prize in Economic Sciences</option> <option value="Nobel Prize in Physics">Nobel Prize in Physics</option> <option value="Shaw Prize">Shaw Prize</option> <option value="Turing Award">Turing Award</option> <option value="Wolf Prize">Wolf Prize</option> </select> </div> </div> </div> </div> <div class="clearfix"></div> <div class="container-fluid"> <div class="row buttons"> <div class="col-xs-6"> <a tabindex="0" class="btn btn-default clear-all">Clear all <span class="glyphicon glyphicon-remove"></span></a> </div> <div class="col-xs-12 col-sm-6"> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> <div class="clearfix"></div> </div> </form> <div class="clear"></div> </div><div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="authors"> <div class="content-main"> <article> <div class="head"> <div class="pull-right"> <a class="btn btn-default matrix edit-profile" type="button" href="/author-profile/edit/heesterbeek.j-a-p" target="_blank">Edit Profile <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></a> </div> <h2>Heesterbeek, J. A. P.</h2> </div> <div class="erdos pull-right"> <a href="/collaboration-distance/?a=heesterbeek.j-a-p&b=erdos.paul" title="Compute Co-Author Distance to Erdős or any other Author"> Co-Author Distance </a> </div> <div class="text" style="max-width: 80%;"> <table> <tr> <td>Author ID:</td> <td>heesterbeek.j-a-p <a target="_blank" href="/atom/ai/heesterbeek.j-a-p"><img class="feed-icon" alt="Recent zbMATH articles by "Heesterbeek, J. A. P."" src="/static/feed-icon-14x14.png"></a></td> </tr><tr> <td>Published as:</td> <td><span>Heesterbeek, J. A. P.</span></td> </tr> </table> </div> <div class="indexed"> <table> <tr> <td>Documents Indexed:</td> <td> <a href="/?q=ia%3Aheesterbeek.j-a-p">26 Publications</a> since 1989, including <a href="/?q=ia%3Aheesterbeek.j-a-p+dt%3Ab">1 Book</a> </td> </tr> <tr> <td>Co-Authors:</td> <td> <a href="/authors/?q=ai1%3Aheesterbeek.j-a-p">20 Co-Authors</a> with <a href="/?q=ai%3Aheesterbeek.j-a-p+ai1%3Aheesterbeek.j-a-p"> 26 Joint Publications</a> </td> </tr> <tr><td></td><td> <a href="/authors/?q=ai2%3Aheesterbeek.j-a-p">751 Co-Co-Authors</a> </td> </table> </div> <div class="profile"> <div class="facet1st"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Co-Authors</h3> <table class="profile"> <tr class="single_authored"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+na%3A1" title="Single-Authored Publications">0</a> </td> <td class="text">single-authored</td> </tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Aroberts.michael-g" title="Joint Publications">7</a> </td> <td class="text"> <a href="/authors/roberts.michael-g" title="Author Profile"> Roberts, Michael George </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Adiekmann.odo" title="Joint Publications">5</a> </td> <td class="text"> <a href="/authors/diekmann.odo" title="Author Profile"> Diekmann, Odo </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Ametz.johan-a-jacob" title="Joint Publications">5</a> </td> <td class="text"> <a href="/authors/metz.johan-a-jacob" title="Author Profile"> Metz, Johan A. Jacob </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Adietz.klaus" title="Joint Publications">4</a> </td> <td class="text"> <a href="/authors/dietz.klaus" title="Author Profile"> Dietz, Klaus </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Aschellinx.h-a-j-m" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/schellinx.h-a-j-m" title="Author Profile"> Schellinx, H. A. J. M. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Ashuai.zhisheng" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/shuai.zhisheng" title="Author Profile"> Shuai, Zhisheng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Avan-den-driessche.pauline" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/van-den-driessche.pauline" title="Author Profile"> van den Driessche, Pauline </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Aadan.ivo-j-b-f" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/adan.ivo-j-b-f" title="Author Profile"> Adan, Ivo J. B. F. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Abarbour.andrew-d" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/barbour.andrew-d" title="Author Profile"> Barbour, Andrew David </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Ade-jong.mart-c-m" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/de-jong.mart-c-m" title="Author Profile"> de Jong, Mart C. M. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Aezanno.pauline" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/ezanno.pauline" title="Author Profile"> Ezanno, Pauline </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Afulford.glenn-robert" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/fulford.glenn-robert" title="Author Profile"> Fulford, Glenn Robert </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Ahalachmi.ilan" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/halachmi.ilan" title="Author Profile"> Halachmi, Ilan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Ajesse.marieke" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/jesse.marieke" title="Author Profile"> Jesse, Marieke </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Aluchsinger.christopher-james" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/luchsinger.christopher-james" title="Author Profile"> Luchsinger, Christopher James </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Athieme.horst-r" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/thieme.horst-r" title="Author Profile"> Thieme, Horst R. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Atudor.david-w" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/tudor.david-w" title="Author Profile"> Tudor, David W. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Avan-der-wal.jan" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/van-der-wal.jan" title="Author Profile"> van der Wal, Jan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Avan-neerven.jan-m-a-m" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/van-neerven.jan-m-a-m" title="Author Profile"> van Neerven, Jan M. A. M. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+ai%3Azwaan.m" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/zwaan.m" title="Author Profile"> Zwaan, M. </a> </td></tr> </table> </div> <div class="facet2nd"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Serials</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+se%3A133" title="Publications in this Serial">8</a> </td> <td class="text"> <a href="/serials/?q=se%3A133" title="Serial Profile"> Journal of Mathematical Biology </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+se%3A150" title="Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A150" title="Serial Profile"> Mathematical Biosciences </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+se%3A1229" title="Publications in this Serial">3</a> </td> <td class="text"> <a href="/serials/?q=se%3A1229" title="Serial Profile"> CWI Quarterly </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+se%3A720" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A720" title="Serial Profile"> Statistica Neerlandica </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+se%3A737" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A737" title="Serial Profile"> Theoretical Population Biology </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+se%3A1375" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1375" title="Serial Profile"> The Annals of Applied Probability </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+se%3A1574" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1574" title="Serial Profile"> European Journal of Operational Research </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+se%3A1881" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1881" title="Serial Profile"> The Canadian Applied Mathematics Quarterly </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+se%3A7526" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7526" title="Serial Profile"> Journal of Theoretical Biology </a> </td></tr> </table> </div> <div class="facet3rd"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A92" title="Publications in this Field">23</a> </td> <td class="text"> <a href="/classification/?q=cc%3A92" title="Mathematics Subject Classification"> Biology and other natural sciences <span style="white-space: nowrap;">(92-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A37" title="Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A37" title="Mathematics Subject Classification"> Dynamical systems and ergodic theory <span style="white-space: nowrap;">(37-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A34" title="Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A34" title="Mathematics Subject Classification"> Ordinary differential equations <span style="white-space: nowrap;">(34-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A60" title="Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A60" title="Mathematics Subject Classification"> Probability theory and stochastic processes <span style="white-space: nowrap;">(60-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A01" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A01" title="Mathematics Subject Classification"> History and biography <span style="white-space: nowrap;">(01-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A11" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A11" title="Mathematics Subject Classification"> Number theory <span style="white-space: nowrap;">(11-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A15" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A15" title="Mathematics Subject Classification"> Linear and multilinear algebra; matrix theory <span style="white-space: nowrap;">(15-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A28" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A28" title="Mathematics Subject Classification"> Measure and integration <span style="white-space: nowrap;">(28-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A39" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A39" title="Mathematics Subject Classification"> Difference and functional equations <span style="white-space: nowrap;">(39-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A47" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A47" title="Mathematics Subject Classification"> Operator theory <span style="white-space: nowrap;">(47-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A62" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A62" title="Mathematics Subject Classification"> Statistics <span style="white-space: nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A65" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A65" title="Mathematics Subject Classification"> Numerical analysis <span style="white-space: nowrap;">(65-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A90" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming <span style="white-space: nowrap;">(90-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A91" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A91" title="Mathematics Subject Classification"> Game theory, economics, finance, and other social and behavioral sciences <span style="white-space: nowrap;">(91-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Aheesterbeek.j-a-p+cc%3A93" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A93" title="Mathematics Subject Classification"> Systems theory; control <span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Publications by Year</h3> <div class="diagram ai-diagram" aria-label="publications by year"></div> <style> rect:hover { fill: steelblue; } .axis path, .axis line { fill: none; stroke: #000; shape-rendering: crispEdges; } .bar { fill: steelblue; } a:hover .bar, a:focus .bar { stroke: black; fill-opacity: 60%; } </style> <script src="/static/js/d3.v3.min.js"></script> <script> var margin = { top: 20, right: 0, bottom: 30, left: 50 }; var width = 930 - margin.left - margin.right; var height = 150 - margin.top - margin.bottom; var svg = d3.selectAll(".ai-diagram").append("svg") .attr("width", width + margin.left + margin.right) .attr("height", height + margin.top + margin.bottom) .append("g") .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); var data = [{ year:1989, frequency:2 },{ year:1990, frequency:3 },{ year:1991, frequency:1 },{ year:1993, frequency:2 },{ year:1994, frequency:2 },{ year:1995, frequency:2 },{ year:1996, frequency:3 },{ year:1998, frequency:1 },{ year:1999, frequency:1 },{ year:2000, frequency:1 },{ year:2002, frequency:2 },{ year:2007, frequency:2 },{ year:2008, frequency:1 },{ year:2013, frequency:2 },{ year:2015, frequency:1 }]; data.forEach(function(d) { d.year = +d.year; d.frequency = +d.frequency; }); var xScale = d3.scale.ordinal() .rangeRoundBands([0, width], .1); var yScale = d3.scale.linear() .range([height, 0]); // fill if less than 20 years span var zero = d3.max( [ 20 - ( d3.max( data, d => d.year ) + 1 - d3.min( data, d => d.year ) ), 0 ] ); // generate range from min to max xScale.domain( d3.range( d3.min( data, d => d.year ), d3.max( data, d => d.year ) + 1 + zero ) ); yScale.domain( [ 0, d3.max( data, d => d.frequency ) ] ); var xAxis = d3.svg.axis() .scale(xScale) .tickValues( // show ticks every 5 years for range up to 50 years, every 10 // years up to 100 years, and every 20 years above that xScale.domain().filter( function(d, i) { let ticks; if (xScale.domain().length <= 50) { ticks = 5; } else if (xScale.domain().length <= 100) { ticks = 10; } else { ticks = 20; } return !(d % ticks); } ) ) .tickSize(6,3,0) // removes end tick .orient("bottom"); var yAxis = d3.svg.axis() .scale(yScale) .ticks(3) // number of ticks .tickFormat(d3.format("d")) // only integers .tickSize(6,3,0) // removes end tick .orient("left"); svg.selectAll(".bar") .data(data) .enter() .append("a") .attr( "xlink:href", d => "/?q=ai%3Aheesterbeek.j-a-p+py%3A" + d.year ) .attr( "title", d => d.frequency + " Publication" + (d.frequency > 1 ? "s" : "") + " in " + d.year ) .append("rect") .attr("class", "bar") .attr("x", d => xScale(d.year)) .attr("width", xScale.rangeBand()) .attr("y", d => yScale(d.frequency)) .attr("height", d => height - yScale(d.frequency)); svg.append("g") .attr("class", "x axis") .attr("transform", "translate(0," + height + ")") .call(xAxis); svg.append("g") .attr("class", "y axis") .call(yAxis) .append("text") .attr("transform", "rotate(-90)") .attr("y", 6) .attr("dy", ".75em") .style("text-anchor", "end") .text(""); </script> </div> </div> <div class="publications sort_by_ci hide_more"><div class="more_less"> <a tabindex="0" class="more">all cited Publications <i class="caret"></i></a> <a tabindex="0" class="less">top 5 cited Publications <i class="caret"></i></a> </div><h3>Citations contained in zbMATH Open</h3> <table> <thead> <tr> <th> <strong>22 Publications have been cited 2,853 times in <a href="/?q=ra%3Aheesterbeek.j-a-p">2,454 Documents</a> </strong> </th> <th> <a tabindex="0" class="sort_cited">Cited by<span class="pub_ci"> ▼</span></a> </th> <th> <a tabindex="0" class="sort_year">Year<span class="pub_py"> ▼</span></a> </th> </tr> </thead> <tbody> <tr class="pub_ci"> <td> <a class="black" href="/0726.92018">On the definition and the computation of the basic reproduction ratio $R_ 0$ in models for infectious diseases in heterogeneous populations.</a> <a class="label nowrap" href="/0726.92018">Zbl 0726.92018</a> <br><a href="/authors/diekmann.odo" title="Author Profile">Diekmann, O.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/metz.johan-a-jacob" title="Author Profile">Metz, J. A. J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4200035">1,619</a> </div> </td> <td> <div class="citation_year">1990</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0997.92505">Mathematical epidemiology of infectious diseases. Model building, analysis and interpretation.</a> <a class="label nowrap" href="/0997.92505">Zbl 0997.92505</a> <br><a href="/authors/diekmann.odo" title="Author Profile">Diekmann, O.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1324225">755</a> </div> </td> <td> <div class="citation_year">1999</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/1124.92043">The type-reproduction number $T$ in models for infectious disease control.</a> <a class="label nowrap" href="/1124.92043">Zbl 1124.92043</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/roberts.michael-g" title="Author Profile">Roberts, M. G.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5171829">73</a> </div> </td> <td> <div class="citation_year">2007</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0854.92018">The concept of $R_ 0$ in epidemic theory.</a> <a class="label nowrap" href="/0854.92018">Zbl 0854.92018</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/dietz.klaus" title="Author Profile">Dietz, K.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A946903">68</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0770.92021">The saturating contact rate in marriage- and epidemic models.</a> <a class="label nowrap" href="/0770.92021">Zbl 0770.92021</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/metz.johan-a-jacob" title="Author Profile">Metz, J. A. J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A203254">63</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1019.92028">Daniel Bernoulli’s epidemiological model revisited.</a> <a class="label nowrap" href="/1019.92028">Zbl 1019.92028</a> <br><a href="/authors/dietz.klaus" title="Author Profile">Dietz, Klaus</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1891150">49</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1278.92031">Extending the type reproduction number to infectious disease control targeting contacts between types.</a> <a class="label nowrap" href="/1278.92031">Zbl 1278.92031</a> <br><a href="/authors/shuai.zhisheng" title="Author Profile">Shuai, Zhisheng</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/van-den-driessche.pauline" title="Author Profile">van den Driessche, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6225306">37</a> </div> </td> <td> <div class="citation_year">2013</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1038.92034">The metapopulation dynamics of an infectious disease: Tuberculosis in possums.</a> <a class="label nowrap" href="/1038.92034">Zbl 1038.92034</a> <br><a href="/authors/fulford.glenn-robert" title="Author Profile">Fulford, G. 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></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2055593">29</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1145.92337">Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection.</a> <a class="label nowrap" href="/1145.92337">Zbl 1145.92337</a> <br><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></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5312967">24</a> </div> </td> <td> <div class="citation_year">2007</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0748.92010">The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations.</a> <a class="label nowrap" href="/0748.92010">Zbl 0748.92010</a> <br><a href="/authors/diekmann.odo" title="Author Profile">Diekmann, O.</a>; <a href="/authors/dietz.klaus" title="Author Profile">Dietz, K.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A33891">23</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0791.92019">The computation of $R_ 0$ for discrete-time epidemic models with dynamic heterogeneity.</a> <a class="label nowrap" href="/0791.92019">Zbl 0791.92019</a> <br><a href="/authors/de-jong.mart-c-m" title="Author Profile">de Jong, M. C. M.</a>; <a href="/authors/diekmann.odo" title="Author Profile">Diekmann, O.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A579287">16</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0822.92018">Threshold quantities for helminth infections.</a> <a class="label nowrap" href="/0822.92018">Zbl 0822.92018</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/roberts.michael-g" title="Author Profile">Roberts, M. G.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A734550">15</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0805.92024">The basic reproduction ratio for sexually transmitted diseases. II: Effects of variable HIV infectivity.</a> <a class="label nowrap" href="/0805.92024">Zbl 0805.92024</a> <br><a href="/authors/dietz.klaus" title="Author Profile">Dietz, K.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/tudor.david-w" title="Author Profile">Tudor, D. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A501032">13</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1312.92030">Erratum to: “Extending the type reproduction number to infectious disease control targeting contacts between types”.</a> <a class="label nowrap" href="/1312.92030">Zbl 1312.92030</a> <br><a href="/authors/shuai.zhisheng" title="Author Profile">Shuai, Zhisheng</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/van-den-driessche.pauline" title="Author Profile">van den Driessche, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6443192">10</a> </div> </td> <td> <div class="citation_year">2015</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0828.60069">A singular perturbation theorem for evolution equations and time-scale arguments for structured population models.</a> <a class="label nowrap" href="/0828.60069">Zbl 0828.60069</a> <br><a href="/authors/?q=ai%3Agreiner.gero%7Cgreiner.gunther%7Cgreiner.glenn-p" title="Author Profile">Greiner, G.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/metz.johan-a-jacob" title="Author Profile">Metz, J. A. J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A790877">8</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0841.92025">Mathematical models for microparasites of wildlife.</a> <a class="label nowrap" href="/0841.92025">Zbl 0841.92025</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/roberts.michael-g" title="Author Profile">Roberts, M. G.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A866569">7</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1400.92501">A fully coupled, mechanistic model for infectious disease dynamics in a metapopulation: movement and epidemic duration.</a> <a class="label nowrap" href="/1400.92501">Zbl 1400.92501</a> <br><a href="/authors/jesse.marieke" title="Author Profile">Jesse, M.</a>; <a href="/authors/ezanno.pauline" title="Author Profile">Ezanno, P.</a>; <a href="/authors/?q=ai%3Adavis.sampson%7Cdavis.simone-weil%7Cdavis.sophia-c%7Cdavis.sean-l%7Cdavis.scott-c%7Cdavis.shawna-m%7Cdavis.stephen-l%7Cdavis.steven-j%7Cdavis.samuel-g%7Cdavis.stephen-boyd%7Cdavis.s-christopher%7Cdavis.shane%7Cdavis.steve%7Cdavis.stephen-f%7Cdavis.seth-j%7Cdavis.s-h-jun%7Cdavis.sergio-m%7Cdavis.stephen-c%7Cdavis.stephen-john%7Cdavis.sanford-s%7Cdavis.sashka%7Cdavis.simon-brian%7Cdavis.sarah%7Cdavis.scott-g%7Cdavis.stephen-a%7Cdavis.sonia-m" title="Author Profile">Davis, S.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6959532">7</a> </div> </td> <td> <div class="citation_year">2008</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1258.92044">Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology.</a> <a class="label nowrap" href="/1258.92044">Zbl 1258.92044</a> <br><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></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6148856">7</a> </div> </td> <td> <div class="citation_year">2013</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0903.92025">A simple parasite model with complicated dynamics.</a> <a class="label nowrap" href="/0903.92025">Zbl 0903.92025</a> <br><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></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1211565">6</a> </div> </td> <td> <div class="citation_year">1998</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0686.92017">How to estimate the efficacy of periodic control of an infectious plant disease.</a> <a class="label nowrap" href="/0686.92017">Zbl 0686.92017</a> <br><a href="/authors/thieme.horst-r" title="Author Profile">Thieme, Horst R.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4125232">4</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0871.92024">Thresholds and initial growth rates in a model of parasitic infection.</a> <a class="label nowrap" href="/0871.92024">Zbl 0871.92024</a> <br><a href="/authors/barbour.andrew-d" title="Author Profile">Barbour, A. D.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/luchsinger.christopher-james" title="Author Profile">Luchsinger, C. J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1008575">2</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0969.90016">The design of robotic dairy barns using closed queueing networks.</a> <a class="label nowrap" href="/0969.90016">Zbl 0969.90016</a> <br><a href="/authors/halachmi.ilan" title="Author Profile">Halachmi, I.</a>; <a href="/authors/adan.ivo-j-b-f" title="Author Profile">Adan, I. J. B. F.</a>; <a href="/authors/van-der-wal.jan" title="Author Profile">van der Wal, J.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/?q=ai%3Avan-beek.peter-j-l%7Cvan-beek.paul" title="Author Profile">van Beek, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1496361">2</a> </div> </td> <td> <div class="citation_year">2000</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1312.92030">Erratum to: “Extending the type reproduction number to infectious disease control targeting contacts between types”.</a> <a class="label nowrap" href="/1312.92030">Zbl 1312.92030</a> <br><a href="/authors/shuai.zhisheng" title="Author Profile">Shuai, Zhisheng</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/van-den-driessche.pauline" title="Author Profile">van den Driessche, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6443192">10</a> </div> </td> <td> <div class="citation_year">2015</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1278.92031">Extending the type reproduction number to infectious disease control targeting contacts between types.</a> <a class="label nowrap" href="/1278.92031">Zbl 1278.92031</a> <br><a href="/authors/shuai.zhisheng" title="Author Profile">Shuai, Zhisheng</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/van-den-driessche.pauline" title="Author Profile">van den Driessche, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6225306">37</a> </div> </td> <td> <div class="citation_year">2013</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1258.92044">Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology.</a> <a class="label nowrap" href="/1258.92044">Zbl 1258.92044</a> <br><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></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6148856">7</a> </div> </td> <td> <div class="citation_year">2013</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1400.92501">A fully coupled, mechanistic model for infectious disease dynamics in a metapopulation: movement and epidemic duration.</a> <a class="label nowrap" href="/1400.92501">Zbl 1400.92501</a> <br><a href="/authors/jesse.marieke" title="Author Profile">Jesse, M.</a>; <a href="/authors/ezanno.pauline" title="Author Profile">Ezanno, P.</a>; <a href="/authors/?q=au%3ADavis%2C%2BS." title="Author Profile">Davis, S.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6959532">7</a> </div> </td> <td> <div class="citation_year">2008</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1124.92043">The type-reproduction number $T$ in models for infectious disease control.</a> <a class="label nowrap" href="/1124.92043">Zbl 1124.92043</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/roberts.michael-g" title="Author Profile">Roberts, M. G.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5171829">73</a> </div> </td> <td> <div class="citation_year">2007</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1145.92337">Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection.</a> <a class="label nowrap" href="/1145.92337">Zbl 1145.92337</a> <br><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></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5312967">24</a> </div> </td> <td> <div class="citation_year">2007</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1019.92028">Daniel Bernoulli’s epidemiological model revisited.</a> <a class="label nowrap" href="/1019.92028">Zbl 1019.92028</a> <br><a href="/authors/dietz.klaus" title="Author Profile">Dietz, Klaus</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1891150">49</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1038.92034">The metapopulation dynamics of an infectious disease: Tuberculosis in possums.</a> <a class="label nowrap" href="/1038.92034">Zbl 1038.92034</a> <br><a href="/authors/fulford.glenn-robert" title="Author Profile">Fulford, G. 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></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2055593">29</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0969.90016">The design of robotic dairy barns using closed queueing networks.</a> <a class="label nowrap" href="/0969.90016">Zbl 0969.90016</a> <br><a href="/authors/halachmi.ilan" title="Author Profile">Halachmi, I.</a>; <a href="/authors/adan.ivo-j-b-f" title="Author Profile">Adan, I. J. B. F.</a>; <a href="/authors/van-der-wal.jan" title="Author Profile">van der Wal, J.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/?q=au%3Avan%2BBeek%2C%2BP." title="Author Profile">van Beek, P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1496361">2</a> </div> </td> <td> <div class="citation_year">2000</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0997.92505">Mathematical epidemiology of infectious diseases. Model building, analysis and interpretation.</a> <a class="label nowrap" href="/0997.92505">Zbl 0997.92505</a> <br><a href="/authors/diekmann.odo" title="Author Profile">Diekmann, O.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1324225">755</a> </div> </td> <td> <div class="citation_year">1999</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0903.92025">A simple parasite model with complicated dynamics.</a> <a class="label nowrap" href="/0903.92025">Zbl 0903.92025</a> <br><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></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1211565">6</a> </div> </td> <td> <div class="citation_year">1998</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0854.92018">The concept of $R_ 0$ in epidemic theory.</a> <a class="label nowrap" href="/0854.92018">Zbl 0854.92018</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/dietz.klaus" title="Author Profile">Dietz, K.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A946903">68</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0871.92024">Thresholds and initial growth rates in a model of parasitic infection.</a> <a class="label nowrap" href="/0871.92024">Zbl 0871.92024</a> <br><a href="/authors/barbour.andrew-d" title="Author Profile">Barbour, A. D.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/luchsinger.christopher-james" title="Author Profile">Luchsinger, C. J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1008575">2</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0822.92018">Threshold quantities for helminth infections.</a> <a class="label nowrap" href="/0822.92018">Zbl 0822.92018</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/roberts.michael-g" title="Author Profile">Roberts, M. G.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A734550">15</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0841.92025">Mathematical models for microparasites of wildlife.</a> <a class="label nowrap" href="/0841.92025">Zbl 0841.92025</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/roberts.michael-g" title="Author Profile">Roberts, M. G.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A866569">7</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0791.92019">The computation of $R_ 0$ for discrete-time epidemic models with dynamic heterogeneity.</a> <a class="label nowrap" href="/0791.92019">Zbl 0791.92019</a> <br><a href="/authors/de-jong.mart-c-m" title="Author Profile">de Jong, M. C. M.</a>; <a href="/authors/diekmann.odo" title="Author Profile">Diekmann, O.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A579287">16</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0828.60069">A singular perturbation theorem for evolution equations and time-scale arguments for structured population models.</a> <a class="label nowrap" href="/0828.60069">Zbl 0828.60069</a> <br><a href="/authors/?q=au%3AGreiner%2C%2BG." title="Author Profile">Greiner, G.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/metz.johan-a-jacob" title="Author Profile">Metz, J. A. J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A790877">8</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0770.92021">The saturating contact rate in marriage- and epidemic models.</a> <a class="label nowrap" href="/0770.92021">Zbl 0770.92021</a> <br><a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/metz.johan-a-jacob" title="Author Profile">Metz, J. A. J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A203254">63</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0805.92024">The basic reproduction ratio for sexually transmitted diseases. II: Effects of variable HIV infectivity.</a> <a class="label nowrap" href="/0805.92024">Zbl 0805.92024</a> <br><a href="/authors/dietz.klaus" title="Author Profile">Dietz, K.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/tudor.david-w" title="Author Profile">Tudor, D. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A501032">13</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0748.92010">The basic reproduction ratio for sexually transmitted diseases. I: Theoretical considerations.</a> <a class="label nowrap" href="/0748.92010">Zbl 0748.92010</a> <br><a href="/authors/diekmann.odo" title="Author Profile">Diekmann, O.</a>; <a href="/authors/dietz.klaus" title="Author Profile">Dietz, K.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A33891">23</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0726.92018">On the definition and the computation of the basic reproduction ratio $R_ 0$ in models for infectious diseases in heterogeneous populations.</a> <a class="label nowrap" href="/0726.92018">Zbl 0726.92018</a> <br><a href="/authors/diekmann.odo" title="Author Profile">Diekmann, O.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a>; <a href="/authors/metz.johan-a-jacob" title="Author Profile">Metz, J. A. J.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4200035">1,619</a> </div> </td> <td> <div class="citation_year">1990</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0686.92017">How to estimate the efficacy of periodic control of an infectious plant disease.</a> <a class="label nowrap" href="/0686.92017">Zbl 0686.92017</a> <br><a href="/authors/thieme.horst-r" title="Author Profile">Thieme, Horst R.</a>; <a href="/authors/heesterbeek.j-a-p" title="Author Profile">Heesterbeek, J. A. P.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4125232">4</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> </tbody> </table><div class="more_less"> <a tabindex="0" class="more">all cited Publications <i class="caret"></i></a> <a tabindex="0" class="less">top 5 cited Publications <i class="caret"></i></a> </div></div> <div class="profile"> <div class="facet1st"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Cited by 3,633 Authors</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Agumel.abba-b" title="Citing Publications by this Author">44</a> </td> <td class="text"> <a href="/authors/gumel.abba-b" title="Author Profile"> Gumel, Abba B. </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Avan-den-driessche.pauline" title="Citing Publications by this Author">41</a> </td> <td class="text"> <a href="/authors/van-den-driessche.pauline" title="Author Profile"> van den Driessche, Pauline </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Akuniya.toshikazu" title="Citing Publications by this Author">40</a> </td> <td class="text"> <a href="/authors/kuniya.toshikazu" title="Author Profile"> Kuniya, Toshikazu </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ateng.zhi-dong" title="Citing Publications by this Author">36</a> </td> <td class="text"> <a href="/authors/teng.zhi-dong" title="Author Profile"> Teng, Zhi-dong </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ajin.zhen" title="Citing Publications by this Author">35</a> </td> <td class="text"> <a href="/authors/jin.zhen" title="Author Profile"> Jin, Zhen </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awang.jinliang" title="Citing Publications by this Author">35</a> </td> <td class="text"> <a href="/authors/wang.jinliang" title="Author Profile"> Wang, Jinliang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awu.jianhong" title="Citing Publications by this Author">26</a> </td> <td class="text"> <a href="/authors/wu.jianhong" title="Author Profile"> Wu, Jianhong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Azhang.tailei" title="Citing Publications by this Author">26</a> </td> <td class="text"> <a href="/authors/zhang.tailei" title="Author Profile"> Zhang, Tailei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aruan.shigui" title="Citing Publications by this Author">25</a> </td> <td class="text"> <a href="/authors/ruan.shigui" title="Author Profile"> Ruan, Shigui </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Axiao.yanni" title="Citing Publications by this Author">24</a> </td> <td class="text"> <a href="/authors/xiao.yanni" title="Author Profile"> Xiao, Yanni </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Asun.guiquan" title="Citing Publications by this Author">23</a> </td> <td class="text"> <a href="/authors/sun.guiquan" title="Author Profile"> Sun, Guiquan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aallen.linda-j-s" title="Citing Publications by this Author">22</a> </td> <td class="text"> <a href="/authors/allen.linda-j-s" title="Author Profile"> Allen, Linda J. S. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Azhao.xiao-qiang" title="Citing Publications by this Author">22</a> </td> <td class="text"> <a href="/authors/zhao.xiao-qiang" title="Author Profile"> Zhao, Xiao-Qiang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aball.frank-g" title="Citing Publications by this Author">21</a> </td> <td class="text"> <a href="/authors/ball.frank-g" title="Author Profile"> Ball, Frank G. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Afeng.zhilan" title="Citing Publications by this Author">19</a> </td> <td class="text"> <a href="/authors/feng.zhilan" title="Author Profile"> Feng, Zhilan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awang.wendi" title="Citing Publications by this Author">19</a> </td> <td class="text"> <a href="/authors/wang.wendi" title="Author Profile"> Wang, Wendi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Agao.daozhou" title="Citing Publications by this Author">18</a> </td> <td class="text"> <a href="/authors/gao.daozhou" title="Author Profile"> Gao, Daozhou </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ainaba.hisashi" title="Citing Publications by this Author">18</a> </td> <td class="text"> <a href="/authors/inaba.hisashi" title="Author Profile"> Inaba, Hisashi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Apugliese.andrea" title="Citing Publications by this Author">18</a> </td> <td class="text"> <a href="/authors/pugliese.andrea" title="Author Profile"> Pugliese, Andrea </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awang.wei.21" title="Citing Publications by this Author">18</a> </td> <td class="text"> <a href="/authors/wang.wei.21" title="Author Profile"> Wang, Wei </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ama.wanbiao" title="Citing Publications by this Author">17</a> </td> <td class="text"> <a href="/authors/ma.wanbiao" title="Author Profile"> Ma, Wanbiao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Azhu.huaiping" title="Citing Publications by this Author">17</a> </td> <td class="text"> <a href="/authors/zhu.huaiping" title="Author Profile"> Zhu, Huaiping </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ali.xuezhi" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/li.xuezhi" title="Author Profile"> Li, Xuezhi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Athieme.horst-r" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/thieme.horst-r" title="Author Profile"> Thieme, Horst R. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Acastillo-chavez.carlos" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/castillo-chavez.carlos" title="Author Profile"> Castillo-Chavez, Carlos </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Agreenhalgh.david" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/greenhalgh.david" title="Author Profile"> Greenhalgh, David </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aliu.xianning" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/liu.xianning" title="Author Profile"> Liu, Xianning </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Amartcheva.maia" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/martcheva.maia" title="Author Profile"> Martcheva, Maia </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ashuai.zhisheng" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/shuai.zhisheng" title="Author Profile"> Shuai, Zhisheng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awang.xueying" title="Citing Publications by this Author">15</a> </td> <td class="text"> <a href="/authors/wang.xueying" title="Author Profile"> Wang, Xueying </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aqiu.zhipeng" title="Citing Publications by this Author">14</a> </td> <td class="text"> <a href="/authors/qiu.zhipeng" title="Author Profile"> Qiu, Zhipeng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Atchuenche.jean-michel" title="Citing Publications by this Author">14</a> </td> <td class="text"> <a href="/authors/tchuenche.jean-michel" title="Author Profile"> Tchuenche, Jean Michel </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Axue.ling.1" title="Citing Publications by this Author">14</a> </td> <td class="text"> <a href="/authors/xue.ling.1" title="Author Profile"> Xue, Ling </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Azou.xingfu" title="Citing Publications by this Author">14</a> </td> <td class="text"> <a href="/authors/zou.xingfu" title="Author Profile"> Zou, Xingfu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Abacaer.nicolas" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/bacaer.nicolas" title="Author Profile"> Bacaër, Nicolas </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Acai.yongli" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/cai.yongli" title="Author Profile"> Cai, Yongli </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Alenhart.suzanne-m" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/lenhart.suzanne-m" title="Author Profile"> Lenhart, Suzanne M. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ali.michael-yi" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/li.michael-yi" title="Author Profile"> Li, Michael Yi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Amagal.pierre" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/magal.pierre" title="Author Profile"> Magal, Pierre </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ametz.johan-a-jacob" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/metz.johan-a-jacob" title="Author Profile"> Metz, Johan A. Jacob </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Amukandavire.zindoga" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/mukandavire.zindoga" title="Author Profile"> Mukandavire, Zindoga </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awang.feng-bin" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/wang.feng-bin" title="Author Profile"> Wang, Feng-Bin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awang.jin" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/wang.jin" title="Author Profile"> Wang, Jin </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awang.kai.1" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/wang.kai.1" title="Author Profile"> Wang, Kai </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ayang.junyuan" title="Citing Publications by this Author">13</a> </td> <td class="text"> <a href="/authors/yang.junyuan" title="Author Profile"> Yang, Junyuan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Abowong.samuel" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/bowong.samuel" title="Author Profile"> Bowong, Samuel </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Abritton.tom" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/britton.tom" title="Author Profile"> Britton, Tom </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Acao.jinde" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/cao.jinde" title="Author Profile"> Cao, Jinde </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Achowell.gerardo" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/chowell.gerardo" title="Author Profile"> Chowell, Gerardo </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ademasse.ramses-djidjou" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/demasse.ramses-djidjou" title="Author Profile"> Demasse, Ramses Djidjou </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Adiekmann.odo" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/diekmann.odo" title="Author Profile"> Diekmann, Odo </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aesteva.lourdes" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/esteva.lourdes" title="Author Profile"> Esteva, Lourdes </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Agarira.winston-s" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/garira.winston-s" title="Author Profile"> Garira, Winston S. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Akiss.istvan-z" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/kiss.istvan-z" title="Author Profile"> Kiss, István Z. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Akribs.christopher-m" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/kribs.christopher-m" title="Author Profile"> Kribs, Christopher M. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aliu.shengqiang" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/liu.shengqiang" title="Author Profile"> Liu, Shengqiang </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aroberts.michael-g" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/roberts.michael-g" title="Author Profile"> Roberts, Michael George </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Asamanta.guru-prasad" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/samanta.guru-prasad" title="Author Profile"> Samanta, Guru Prasad </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awang.binguo" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/wang.binguo" title="Author Profile"> Wang, Bin’guo </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Awang.weiming" title="Citing Publications by this Author">12</a> </td> <td class="text"> <a href="/authors/wang.weiming" title="Author Profile"> Wang, Weiming </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aagusto.folashade-b" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/agusto.folashade-b" title="Author Profile"> Agusto, Folashade B. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Adietz.klaus" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/dietz.klaus" title="Author Profile"> Dietz, Klaus </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Aheesterbeek.j-a-p" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/heesterbeek.j-a-p" title="Author Profile"> Heesterbeek, J. A. P. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Akumar-upadhyay.ranjit" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/kumar-upadhyay.ranjit" title="Author Profile"> Kumar Upadhyay, Ranjit </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Alou.yijun" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/lou.yijun" title="Author Profile"> Lou, Yijun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Ama.junling" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/ma.junling" title="Author Profile"> Ma, Junling </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Angonghala.calistus-n" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/ngonghala.calistus-n" title="Author Profile"> Ngonghala, Calistus N. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Anyabadza.farai" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/nyabadza.farai" title="Author Profile"> Nyabadza, Farai </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Atang.sanyi" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/tang.sanyi" title="Author Profile"> Tang, Sanyi </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Atrapman.pieter" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/trapman.pieter" title="Author Profile"> Trapman, Pieter </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+ai%3Avaidya.naveen-k" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a 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this Field">111</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization <span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A93" title="Citing Publications in this Field">96</a> </td> <td class="text"> <a href="/classification/?q=cc%3A93" title="Mathematics Subject Classification"> Systems theory; control <span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A62" title="Citing Publications in this Field">61</a> </td> <td class="text"> <a href="/classification/?q=cc%3A62" title="Mathematics Subject Classification"> Statistics <span style="white-space: nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A45" title="Citing Publications in this Field">46</a> </td> <td class="text"> <a href="/classification/?q=cc%3A45" title="Mathematics Subject Classification"> Integral equations <span style="white-space: nowrap;">(45-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A05" title="Citing Publications in this Field">45</a> </td> <td class="text"> <a href="/classification/?q=cc%3A05" title="Mathematics Subject Classification"> Combinatorics <span style="white-space: nowrap;">(05-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A47" title="Citing Publications in this Field">35</a> </td> <td class="text"> <a href="/classification/?q=cc%3A47" title="Mathematics Subject Classification"> Operator theory <span style="white-space: nowrap;">(47-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A82" title="Citing Publications in this Field">29</a> </td> <td class="text"> <a href="/classification/?q=cc%3A82" title="Mathematics Subject Classification"> Statistical mechanics, structure of matter <span style="white-space: nowrap;">(82-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A68" title="Citing Publications in this Field">28</a> </td> <td class="text"> <a href="/classification/?q=cc%3A68" title="Mathematics Subject Classification"> Computer science <span style="white-space: nowrap;">(68-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A39" title="Citing Publications in this Field">27</a> </td> <td class="text"> <a href="/classification/?q=cc%3A39" title="Mathematics Subject Classification"> Difference and functional equations <span style="white-space: nowrap;">(39-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A90" title="Citing Publications in this Field">21</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming <span style="white-space: nowrap;">(90-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A15" title="Citing Publications in this Field">15</a> </td> <td class="text"> <a href="/classification/?q=cc%3A15" title="Mathematics Subject Classification"> Linear and multilinear algebra; matrix theory <span style="white-space: nowrap;">(15-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A26" title="Citing Publications in this Field">14</a> </td> <td class="text"> <a href="/classification/?q=cc%3A26" title="Mathematics Subject Classification"> Real functions <span style="white-space: nowrap;">(26-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A94" title="Citing Publications in this Field">11</a> </td> <td class="text"> <a href="/classification/?q=cc%3A94" title="Mathematics Subject Classification"> Information and communication theory, circuits <span style="white-space: nowrap;">(94-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A01" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A01" title="Mathematics Subject Classification"> History and biography <span style="white-space: nowrap;">(01-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A00" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A00" title="Mathematics Subject Classification"> General and overarching topics; collections <span style="white-space: nowrap;">(00-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A28" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A28" title="Mathematics Subject Classification"> Measure and integration <span style="white-space: nowrap;">(28-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A46" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A46" title="Mathematics Subject Classification"> Functional analysis <span style="white-space: nowrap;">(46-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A03" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A03" title="Mathematics Subject Classification"> Mathematical logic and foundations <span style="white-space: nowrap;">(03-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A11" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A11" title="Mathematics Subject Classification"> Number theory <span style="white-space: nowrap;">(11-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A41" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions <span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A44" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A44" title="Mathematics Subject Classification"> Integral transforms, operational calculus <span style="white-space: nowrap;">(44-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A58" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A58" title="Mathematics Subject Classification"> Global analysis, analysis on manifolds <span style="white-space: nowrap;">(58-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A76" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A76" title="Mathematics Subject Classification"> Fluid mechanics <span style="white-space: nowrap;">(76-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Aheesterbeek.j-a-p+cc%3A97" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A97" title="Mathematics Subject Classification"> Mathematics education <span style="white-space: nowrap;">(97-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Citations by Year</h3> <div class="diagram ci-diagram" aria-label="citations by year"></div> <style> rect:hover { fill: steelblue; } .axis path, .axis line { fill: none; stroke: #000; shape-rendering: crispEdges; } .bar { fill: steelblue; } a:hover .bar, a:focus .bar { stroke: black; fill-opacity: 60%; } </style> <script> var margin = { top: 20, right: 0, bottom: 30, left: 50 }; var width = 930 - margin.left - margin.right; var height = 150 - margin.top - margin.bottom; var svg = d3.selectAll(".ci-diagram").append("svg") .attr("width", width + margin.left + margin.right) .attr("height", height + margin.top + margin.bottom) .append("g") .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); var data = [{ year:1989, frequency:1 },{ year:1991, frequency:3 },{ year:1992, frequency:5 },{ year:1993, frequency:5 },{ year:1994, frequency:8 },{ year:1995, frequency:4 },{ year:1996, frequency:5 },{ year:1997, frequency:5 },{ year:1998, frequency:5 },{ year:1999, frequency:7 },{ year:2000, frequency:16 },{ year:2001, frequency:4 },{ year:2002, frequency:10 },{ year:2003, frequency:21 },{ year:2004, frequency:27 },{ year:2005, frequency:35 },{ year:2006, frequency:51 },{ year:2007, frequency:66 },{ year:2008, frequency:64 },{ year:2009, frequency:64 },{ year:2010, frequency:68 },{ year:2011, frequency:64 },{ year:2012, frequency:88 },{ year:2013, frequency:82 },{ year:2014, frequency:111 },{ year:2015, frequency:112 },{ year:2016, frequency:136 },{ year:2017, frequency:142 },{ year:2018, frequency:141 },{ year:2019, frequency:145 },{ year:2020, frequency:227 },{ year:2021, frequency:217 },{ year:2022, frequency:188 },{ year:2023, frequency:163 },{ year:2024, frequency:129 },{ year:2025, frequency:35 }]; data.forEach(function(d) { d.year = +d.year; d.frequency = +d.frequency; }); var xScale = d3.scale.ordinal() .rangeRoundBands([0, width], .1); var yScale = d3.scale.linear() .range([height, 0]); // fill if less than 20 years span var zero = d3.max( [ 20 - ( d3.max( data, d => d.year ) + 1 - d3.min( data, d => d.year ) ), 0 ] ); // generate range from min to max xScale.domain( d3.range( d3.min( data, d => d.year ), d3.max( data, d => d.year ) + 1 + zero ) ); yScale.domain( [ 0, d3.max( data, d => d.frequency ) ] ); var xAxis = d3.svg.axis() .scale(xScale) .tickValues( // show ticks every 5 years for range up to 50 years, every 10 // years up to 100 years, and every 20 years above that xScale.domain().filter( function(d, i) { let ticks; if (xScale.domain().length <= 50) { ticks = 5; } else if (xScale.domain().length <= 100) { ticks = 10; } else { ticks = 20; } return !(d % ticks); } ) ) .tickSize(6,3,0) // removes end tick .orient("bottom"); var yAxis = d3.svg.axis() .scale(yScale) .ticks(3) // number of ticks .tickFormat(d3.format("d")) // only integers .tickSize(6,3,0) // removes end tick .orient("left"); svg.selectAll(".bar") .data(data) .enter() .append("a") .attr( "xlink:href", d => "/?q=ra%3Aheesterbeek.j-a-p+py%3A" + d.year ) .attr( "title", d => d.frequency + " Citation" + (d.frequency > 1 ? "s" : "") + " in " + d.year ) .append("rect") .attr("class", "bar") .attr("x", d => xScale(d.year)) .attr("width", xScale.rangeBand()) .attr("y", d => yScale(d.frequency)) .attr("height", d => height - yScale(d.frequency)); svg.append("g") .attr("class", "x axis") .attr("transform", "translate(0," + height + ")") .call(xAxis); svg.append("g") .attr("class", "y axis") .call(yAxis) .append("text") .attr("transform", "rotate(-90)") .attr("y", 6) .attr("dy", ".75em") .style("text-anchor", "end") .text(""); </script> </div> </div> </article> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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