Herbert W. Hethcote - Author Profile

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type="text" name="q" value="ai:hethcote.herbert-w" 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/hethcote.herbert-w" 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>Hethcote, Herbert W.</h2> </div> <div class="erdos pull-right"> <a href="/collaboration-distance/?a=hethcote.herbert-w&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>hethcote.herbert-w <a target="_blank" href="/atom/ai/hethcote.herbert-w"><img class="feed-icon" alt="Recent zbMATH articles by "Hethcote, Herbert W."" src="/static/feed-icon-14x14.png"></a></td> </tr><tr> <td>Published as:</td> <td><span>Hethcote, Herbert W.</span>; <span>Hethcote, H. W.</span>; <span id="more_spellings" class="more_spellings collapse"><span>Hethcote, Herbert</span>; <span>Hethcote, H.</span> </span> <a role="button" data-toggle="collapse" href="#more_spellings" aria-expanded="false" aria-controls="more_spellings"><span>more...</span><span style="display: none;">less</span></a></td> </tr> <tr> <td>Homepage:</td> <td><a href="https://math.uiowa.edu/people/herbert-hethcote">https://math.uiowa.edu/people/herbert-hethcote</a></td> </tr> <tr> <td>External Links:</td> <td> <a href="http://genealogy.math.ndsu.nodak.edu/id.php?id=5440" title="5440" style="white-space: nowrap;">MGP</a> · <a href="https://www.wikidata.org/wiki/Q101541521" title="Q101541521" style="white-space: nowrap;">Wikidata</a> · <a href="https://scholar.google.com/citations?user=mFUSi3kAAAAJ" title="mFUSi3kAAAAJ" style="white-space: nowrap;">Google Scholar</a> · <a href="https://www.researchgate.net/profile/Herbert-Hethcote" title="Herbert-Hethcote" style="white-space: nowrap;">ResearchGate</a> · <a href="http://dblp.uni-trier.de/pid/93/9138" title="93/9138" style="white-space: nowrap;">dblp</a> </td> </tr> </table> </div> <div class="indexed"> <table> <tr> <td>Documents Indexed:</td> <td> <a href="/?q=ia%3Ahethcote.herbert-w">54 Publications</a> since 1970, including <a href="/?q=ia%3Ahethcote.herbert-w+dt%3Ab">2 Books</a> </td> </tr> <tr> <td>Co-Authors:</td> <td> <a href="/authors/?q=ai1%3Ahethcote.herbert-w">36 Co-Authors</a> with <a href="/?q=ai%3Ahethcote.herbert-w+ai1%3Ahethcote.herbert-w"> 35 Joint Publications</a> </td> </tr> <tr><td></td><td> <a href="/authors/?q=ai2%3Ahethcote.herbert-w">1,395 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%3Ahethcote.herbert-w+na%3A1" title="Single-Authored Publications">19</a> </td> <td class="text">single-authored</td> </tr><tr> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Avan-den-driessche.pauline" title="Joint Publications">8</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=ai%3Ahethcote.herbert-w+ai%3Acastillo-chavez.carlos" title="Joint Publications">4</a> </td> <td class="text"> <a href="/authors/castillo-chavez.carlos" title="Author Profile"> Castillo-Chavez, Carlos </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Ali.yi" title="Joint Publications">4</a> </td> <td class="text"> <a href="/authors/li.yi" title="Author Profile"> Li, Yi </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Agao.linda-q" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/gao.linda-q" title="Author Profile"> Gao, Linda Q. </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Alevin.simon-a" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/levin.simon-a" title="Author Profile"> Levin, Simon Asher </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Aliu.wei-min" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/liu.wei-min" title="Author Profile"> Liu, Wei-min </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Amena-lorca.jaime" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/mena-lorca.jaime" title="Author Profile"> Mena-Lorca, Jaime </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Astech.harlan-w" title="Joint Publications">3</a> </td> <td class="text"> <a href="/authors/stech.harlan-w" title="Author Profile"> Stech, Harlan W. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Aandreasen.viggo" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/andreasen.viggo" title="Author Profile"> Andreasen, Viggo </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Adel-valle.sara-y" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/del-valle.sara-y" title="Author Profile"> Del Valle, Sara Y. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Ahyman.james-m" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/hyman.james-m" title="Author Profile"> Hyman, James M. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Avan-ark.james-w" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/van-ark.james-w" title="Author Profile"> van Ark, James W. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Awang.wendi" title="Joint Publications">2</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=ai%3Ahethcote.herbert-w+ai%3Ayorke.james-a" title="Joint Publications">2</a> </td> <td class="text"> <a href="/authors/yorke.james-a" title="Author Profile"> Yorke, James Alan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Abecker.niels-g" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/becker.niels-g" title="Author Profile"> Becker, Niels G. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Achowell.gerardo" title="Joint Publications">1</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=ai%3Ahethcote.herbert-w+ai%3Acintron-arias.ariel" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/cintron-arias.ariel" title="Author Profile"> Cintrón-Arias, Ariel </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Agao.linda" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/gao.linda" title="Author Profile"> Gao, Linda </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Ahan.litao" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/han.litao" title="Author Profile"> Han, Litao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Ajing.zhujun" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/jing.zhujun" title="Author Profile"> Jing, Zhujun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Alewis.mark-a" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/lewis.mark-a" title="Author Profile"> Lewis, Mark Alun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Ali.tong" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/li.tong" title="Author Profile"> Li, Tong </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Alin.x-sheldon" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/lin.x-sheldon" title="Author Profile"> Lin, X. Sheldon </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Ama.zhien" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/ma.zhien" title="Author Profile"> Ma, Zhien </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Anold.annett" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/nold.annett" title="Author Profile"> Nold, Annett </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Arouderfer.vladimir" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/rouderfer.vladimir" title="Author Profile"> Rouderfer, Vladimir </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Asaenz.roberto-a" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/saenz.roberto-a" title="Author Profile"> Saenz, Roberto A. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Asanchez.fabio" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/sanchez.fabio" title="Author Profile"> Sánchez, Fabio </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Aschuette.matthew-c" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/schuette.matthew-c" title="Author Profile"> Schuette, Matthew C. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Ashengbing.liao" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/shengbing.liao" title="Author Profile"> Shengbing, Liao </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Asong.baojun" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/song.baojun" title="Author Profile"> Song, Baojun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+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%3Ahethcote.herbert-w+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%3Ahethcote.herbert-w+ai%3Awaltman.paul" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/waltman.paul" title="Author Profile"> Waltman, Paul Elvis </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Azhien.ma" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/zhien.ma" title="Author Profile"> Zhien, Ma </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+ai%3Azhou.jinshi" title="Joint Publications">1</a> </td> <td class="text"> <a href="/authors/zhou.jinshi" title="Author Profile"> Zhou, Jinshi </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%3Ahethcote.herbert-w+se%3A150" title="Publications in this Serial">15</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%3Ahethcote.herbert-w+se%3A133" title="Publications in this Serial">12</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%3Ahethcote.herbert-w+se%3A1210" title="Publications in this Serial">3</a> </td> <td class="text"> <a href="/serials/?q=se%3A1210" title="Serial Profile"> Mathematical and Computer Modelling </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+se%3A241" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A241" title="Serial Profile"> Bulletin of Mathematical Biology </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+se%3A1639" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A1639" title="Serial Profile"> SIAM Review </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+se%3A4013" title="Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A4013" title="Serial Profile"> Lecture Notes in Biomathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+se%3A99" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A99" title="Serial Profile"> International Journal of Mathematical Education in Science and Technology </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+se%3A225" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A225" title="Serial Profile"> Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+se%3A623" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A623" title="Serial Profile"> Proceedings of the American Mathematical Society </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+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%3Ahethcote.herbert-w+se%3A1637" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1637" title="Serial Profile"> SIAM Journal on Applied Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+se%3A1638" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1638" title="Serial Profile"> SIAM Journal on Mathematical Analysis </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+se%3A1800" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1800" title="Serial Profile"> International Journal of Bifurcation and Chaos in Applied Sciences and Engineering </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+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%3Ahethcote.herbert-w+se%3A3242" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A3242" title="Serial Profile"> Mathematical Biosciences and Engineering </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%3Ahethcote.herbert-w+cc%3A92" title="Publications in this Field">50</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%3Ahethcote.herbert-w+cc%3A34" title="Publications in this Field">18</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%3Ahethcote.herbert-w+cc%3A45" title="Publications in this Field">7</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> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+cc%3A35" title="Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations <span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+cc%3A37" title="Publications in this Field">5</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 class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+cc%3A65" title="Publications in this Field">2</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%3Ahethcote.herbert-w+cc%3A91" title="Publications in this Field">2</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%3Ahethcote.herbert-w+cc%3A05" title="Publications in this Field">1</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=ai%3Ahethcote.herbert-w+cc%3A31" title="Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A31" title="Mathematics Subject Classification"> Potential theory <span style="white-space: nowrap;">(31-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ai%3Ahethcote.herbert-w+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:1970, frequency:3 },{ year:1972, frequency:1 },{ year:1973, frequency:2 },{ year:1976, frequency:1 },{ year:1977, frequency:1 },{ year:1978, frequency:1 },{ year:1980, frequency:1 },{ year:1981, frequency:3 },{ year:1982, frequency:1 },{ year:1984, frequency:1 },{ year:1985, frequency:2 },{ year:1987, frequency:2 },{ year:1988, frequency:2 },{ year:1989, frequency:3 },{ year:1991, frequency:1 },{ year:1992, frequency:3 },{ year:1993, frequency:1 },{ year:1994, frequency:3 },{ year:1995, frequency:2 },{ year:1996, frequency:3 },{ year:1997, frequency:1 },{ year:1998, frequency:1 },{ year:1999, frequency:3 },{ year:2000, frequency:2 },{ year:2001, frequency:1 },{ year:2002, frequency:2 },{ year:2005, frequency:2 },{ year:2006, frequency:4 },{ year:2009, 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%3Ahethcote.herbert-w+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>54 Publications have been cited 4,676 times in <a href="/?q=ra%3Ahethcote.herbert-w">3,292 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="/0993.92033">The mathematics of infectious diseases.</a> <a class="label nowrap" href="/0993.92033">Zbl 0993.92033</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1579035">1,651</a> </div> </td> <td> <div class="citation_year">2000</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0621.92014">Dynamical behavior of epidemiological models with nonlinear incidence rates.</a> <a class="label nowrap" href="/0621.92014">Zbl 0621.92014</a> <br><a href="/authors/liu.wei-min" title="Author Profile">Liu, Wei-min</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/levin.simon-a" title="Author Profile">Levin, Simon A.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4008171">363</a> </div> </td> <td> <div class="citation_year">1987</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0326.92017">Qualitative analyses of communicable disease models.</a> <a class="label nowrap" href="/0326.92017">Zbl 0326.92017</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3511927">278</a> </div> </td> <td> <div class="citation_year">1976</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0542.92026">Gonorrhea. Transmission dynamics and control.</a> <a class="label nowrap" href="/0542.92026">Zbl 0542.92026</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/yorke.james-a" title="Author Profile">Yorke, James A.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3862999">199</a> </div> </td> <td> <div class="citation_year">1984</div> </td> </tr> <tr class="pub_ci"> <td> <a class="black" href="/0722.92015">Some epidemiological models with nonlinear incidence.</a> <a class="label nowrap" href="/0722.92015">Zbl 0722.92015</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</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%3A4191458">198</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0748.92012">Dynamic models of infectious diseases as regulators of population sizes.</a> <a class="label nowrap" href="/0748.92012">Zbl 0748.92012</a> <br><a href="/authors/mena-lorca.jaime" title="Author Profile">Mena-Lorca, Jaime</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A63999">184</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1019.92030">Effects of quarantine in six endemic models for infectious diseases.</a> <a class="label nowrap" href="/1019.92030">Zbl 1019.92030</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert</a>; <a href="/authors/zhien.ma" title="Author Profile">Zhien, Ma</a>; <a href="/authors/shengbing.liao" title="Author Profile">Shengbing, Liao</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1891158">145</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0715.92028">Epidemiological models with age structure, proportionate mixing, and cross-immunity.</a> <a class="label nowrap" href="/0715.92028">Zbl 0715.92028</a> <br><a href="/authors/castillo-chavez.carlos" title="Author Profile">Castillo-Chavez, C.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a>; <a href="/authors/andreasen.viggo" title="Author Profile">Andreasen, V.</a>; <a href="/authors/levin.simon-a" title="Author Profile">Levin, S. A.</a>; <a href="/authors/liu.wei-min" title="Author Profile">Liu, W. M.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4179201">105</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0619.92006">Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs.</a> <a class="label nowrap" href="/0619.92006">Zbl 0619.92006</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/van-ark.james-w" title="Author Profile">van Ark, James W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4006044">100</a> </div> </td> <td> <div class="citation_year">1987</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0774.92018">Disease transmission models with density-dependent demographics.</a> <a class="label nowrap" href="/0774.92018">Zbl 0774.92018</a> <br><a href="/authors/gao.linda-q" title="Author Profile">Gao, Linda Q.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A64000">94</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0582.92024">Stability of the endemic equilibrium in epidemic models with subpopulations.</a> <a class="label nowrap" href="/0582.92024">Zbl 0582.92024</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/thieme.horst-r" title="Author Profile">Thieme, Horst R.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3932853">84</a> </div> </td> <td> <div class="citation_year">1985</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0392.92009">An immunization model for a heterogeneous population.</a> <a class="label nowrap" href="/0392.92009">Zbl 0392.92009</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3609509">84</a> </div> </td> <td> <div class="citation_year">1978</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0469.92012">Nonlinear oscillations in epidemic models.</a> <a class="label nowrap" href="/0469.92012">Zbl 0469.92012</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/stech.harlan-w" title="Author Profile">Stech, Harlan W.</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%3A3737439">82</a> </div> </td> <td> <div class="citation_year">1981</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0823.92027">Population size dependent incidence in models for diseases without immunity.</a> <a class="label nowrap" href="/0823.92027">Zbl 0823.92027</a> <br><a href="/authors/zhou.jinshi" title="Author Profile">Zhou, Jinshi</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A700913">75</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0836.92022">An SIS epidemic model with variable population size and a delay.</a> <a class="label nowrap" href="/0836.92022">Zbl 0836.92022</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</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%3A845956">74</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0999.92032">Four predator prey models with infectious diseases.</a> <a class="label nowrap" href="/0999.92032">Zbl 0999.92032</a> <br><a href="/authors/han.litao" title="Author Profile">Han, Litao</a>; <a href="/authors/ma.zhien" title="Author Profile">Ma, Zhien</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1755399">74</a> </div> </td> <td> <div class="citation_year">2001</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0819.92020">A thousand and one epidemic models.</a> <a class="label nowrap" href="/0819.92020">Zbl 0819.92020</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A764555">66</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0477.92014">Periodicity and stability in epidemic models: a survey.</a> <a class="label nowrap" href="/0477.92014">Zbl 0477.92014</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/stech.harlan-w" title="Author Profile">Stech, Harlan W.</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%3A3750740">65</a> </div> </td> <td> <div class="citation_year">1981</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0433.92026">Integral equation models for endemic infectious diseases.</a> <a class="label nowrap" href="/0433.92026">Zbl 0433.92026</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/tudor.david-w" title="Author Profile">Tudor, David W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3675694">60</a> </div> </td> <td> <div class="citation_year">1980</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0959.92025">Two SIS epidemiologic models with delays.</a> <a class="label nowrap" href="/0959.92025">Zbl 0959.92025</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</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%3A1415612">54</a> </div> </td> <td> <div class="citation_year">2000</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0714.92021">An epidemiological model with a delay and a nonlinear incidence rate.</a> <a class="label nowrap" href="/0714.92021">Zbl 0714.92021</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a>; <a href="/authors/lewis.mark-a" title="Author Profile">Lewis, M. A.</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%3A4176891">51</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0805.92026">Modeling HIV transmission and AIDS in the United States.</a> <a class="label nowrap" href="/0805.92026">Zbl 0805.92026</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/van-ark.james-w" title="Author Profile">Van Ark, James W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A107891">51</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1065.92039">Effects of behavioral changes in a smallpox attack model.</a> <a class="label nowrap" href="/1065.92039">Zbl 1065.92039</a> <br><a href="/authors/del-valle.sara-y" title="Author Profile">Del Valle, S.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H.</a>; <a href="/authors/hyman.james-m" title="Author Profile">Hyman, J. M.</a>; <a href="/authors/castillo-chavez.carlos" title="Author Profile">Castillo-Chavez, C.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2193194">41</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0643.92014">Optimal ages of vaccination for measles.</a> <a class="label nowrap" href="/0643.92014">Zbl 0643.92014</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4049455">38</a> </div> </td> <td> <div class="citation_year">1988</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0279.92011">Asymptotic behavior in a deterministic epidemic model.</a> <a class="label nowrap" href="/0279.92011">Zbl 0279.92011</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3440222">34</a> </div> </td> <td> <div class="citation_year">1973</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0266.92011">Optimal vaccination schedules in a deterministic model.</a> <a class="label nowrap" href="/0266.92011">Zbl 0266.92011</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/waltman.paul" title="Author Profile">Waltman, Paul</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3420533">31</a> </div> </td> <td> <div class="citation_year">1973</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0475.92014">Stability analysis for models of diseases without immunity.</a> <a class="label nowrap" href="/0475.92014">Zbl 0475.92014</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/stech.harlan-w" title="Author Profile">Stech, Harlan W.</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%3A3746874">30</a> </div> </td> <td> <div class="citation_year">1981</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0884.92025">Modeling heterogeneous mixing in infectious disease dynamics.</a> <a class="label nowrap" href="/0884.92025">Zbl 0884.92025</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A898403">29</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0199.49902">Error bounds for asymptotic approximations of zeros of transcendental functions.</a> <a class="label nowrap" href="/0199.49902">Zbl 0199.49902</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3318230">29</a> </div> </td> <td> <div class="citation_year">1970</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0793.92011">An epidemiological model for HIV/AIDS with proportional recruitment.</a> <a class="label nowrap" href="/0793.92011">Zbl 0793.92011</a> <br><a href="/authors/lin.x-sheldon" title="Author Profile">Lin, Xiaodong</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</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%3A579290">27</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0834.92021">Four SEI endemic models with periodicity and separatrices.</a> <a class="label nowrap" href="/0834.92021">Zbl 0834.92021</a> <br><a href="/authors/gao.linda-q" title="Author Profile">Gao, Linda Q.</a>; <a href="/authors/mena-lorca.jaime" title="Author Profile">Mena-Lorca, Jaime</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A812560">27</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0895.92027">An age-structured model for pertussis transmission.</a> <a class="label nowrap" href="/0895.92027">Zbl 0895.92027</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1092993">27</a> </div> </td> <td> <div class="citation_year">1997</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0804.92012">Waning immunity and its effects on vaccination schedules.</a> <a class="label nowrap" href="/0804.92012">Zbl 0804.92012</a> <br><a href="/authors/rouderfer.vladimir" title="Author Profile">Rouderfer, Vladimir</a>; <a href="/authors/becker.niels-g" title="Author Profile">Becker, Niels G.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A703277">19</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0189.34404">Bounds for zeros of some special functions.</a> <a class="label nowrap" href="/0189.34404">Zbl 0189.34404</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3302439">19</a> </div> </td> <td> <div class="citation_year">1970</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0663.92010">Cross-immunity in the dynamics of homogeneous and heterogeneous populations.</a> <a class="label nowrap" href="/0663.92010">Zbl 0663.92010</a> <br><a href="/authors/castillo-chavez.carlos" title="Author Profile">Castillo-Chavez, Carlos</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/andreasen.viggo" title="Author Profile">Andreasen, Viggo</a>; <a href="/authors/levin.simon-a" title="Author Profile">Levin, Simon A.</a>; <a href="/authors/liu.wei-min" title="Author Profile">Liu, Weimin</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4085473">18</a> </div> </td> <td> <div class="citation_year">1988</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0934.92032">Simulations of pertussis epidemiology in the United States: Effects of adult booster vaccinations.</a> <a class="label nowrap" href="/0934.92032">Zbl 0934.92032</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1359913">17</a> </div> </td> <td> <div class="citation_year">1999</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0355.31004">Schwarz lemma analogues for harmonic functions.</a> <a class="label nowrap" href="/0355.31004">Zbl 0355.31004</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3552902">15</a> </div> </td> <td> <div class="citation_year">1977</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0486.92024">Gonorrhea modeling: A comparison of control methods.</a> <a class="label nowrap" href="/0486.92024">Zbl 0486.92024</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/yorke.james-a" title="Author Profile">Yorke, James A.</a>; <a href="/authors/nold.annett" title="Author Profile">Nold, Annett</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3765600">15</a> </div> </td> <td> <div class="citation_year">1982</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1077.92044">Species coexistence and periodicity in host-host-pathogen models.</a> <a class="label nowrap" href="/1077.92044">Zbl 1077.92044</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/wang.wendi" title="Author Profile">Wang, Wendi</a>; <a href="/authors/li.yi" title="Author Profile">Li, Yi</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2245469">10</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1097.92040">Simulations of rubella vaccination strategies in China.</a> <a class="label nowrap" href="/1097.92040">Zbl 1097.92040</a> <br><a href="/authors/gao.linda" title="Author Profile">Gao, Linda</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5062228">9</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0919.92032">Oscillations in an endemic model for pertussis.</a> <a class="label nowrap" href="/0919.92032">Zbl 0919.92032</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1289759">9</a> </div> </td> <td> <div class="citation_year">1998</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1165.35311">Periodic traveling waves in SIRS endemic models.</a> <a class="label nowrap" href="/1165.35311">Zbl 1165.35311</a> <br><a href="/authors/li.tong" title="Author Profile">Li, Tong</a>; <a href="/authors/li.yi" title="Author Profile">Li, Yi</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5580579">8</a> </div> </td> <td> <div class="citation_year">2009</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1089.92050">Competing species models with an infectious disease.</a> <a class="label nowrap" href="/1089.92050">Zbl 1089.92050</a> <br><a href="/authors/saenz.roberto-a" title="Author Profile">Saenz, Roberto A.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5031329">8</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1323.92211">Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles.</a> <a class="label nowrap" href="/1323.92211">Zbl 1323.92211</a> <br><a href="/authors/schuette.matthew-c" title="Author Profile">Schuette, Matthew C.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6498901">8</a> </div> </td> <td> <div class="citation_year">1999</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1043.92525">Hopf bifurcation in models for pertussis epidemiology.</a> <a class="label nowrap" href="/1043.92525">Zbl 1043.92525</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a>; <a href="/authors/li.yi" title="Author Profile">Li, Yi</a>; <a href="/authors/jing.zhujun" title="Author Profile">Jing, Zhujun</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1737700">7</a> </div> </td> <td> <div class="citation_year">1999</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1140.34361">Bifurcations in a host-parasite model with nonlinear incidence.</a> <a class="label nowrap" href="/1140.34361">Zbl 1140.34361</a> <br><a href="/authors/wang.wendi" title="Author Profile">Wang, Wendi</a>; <a href="/authors/li.yi" title="Author Profile">Li, Yi</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5172278">5</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0682.92012">A model for HIV transmission and AIDS.</a> <a class="label nowrap" href="/0682.92012">Zbl 0682.92012</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4118214">5</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0212.52104">Note on determining the limiting susceptible population in an epidemic model.</a> <a class="label nowrap" href="/0212.52104">Zbl 0212.52104</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3337353">5</a> </div> </td> <td> <div class="citation_year">1970</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0920.92026">Variations on a theme of SEI endemic models.</a> <a class="label nowrap" href="/0920.92026">Zbl 0920.92026</a> <br><a href="/authors/gao.linda-q" title="Author Profile">Gao, Linda Q.</a>; <a href="/authors/mena-lorca.jaime" title="Author Profile">Mena-Lorca, Jaime</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1302427">4</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0564.92015">A vaccination model for an endemic disease with maternal antibodies in infants.</a> <a class="label nowrap" href="/0564.92015">Zbl 0564.92015</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3900582">2</a> </div> </td> <td> <div class="citation_year">1985</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1021.92021">New vaccination strategies for pertussis.</a> <a class="label nowrap" href="/1021.92021">Zbl 1021.92021</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1944167">2</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0242.34023">Geometric existence proofs for non-linear boundary value problems.</a> <a class="label nowrap" href="/0242.34023">Zbl 0242.34023</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3382842">1</a> </div> </td> <td> <div class="citation_year">1972</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/1152.92343">Mathematical applications associated with the deliberate release of infectious agents.</a> <a class="label nowrap" href="/1152.92343">Zbl 1152.92343</a> <br><a href="/authors/chowell.gerardo" title="Author Profile">Chowell, Gerardo</a>; <a href="/authors/cintron-arias.ariel" title="Author Profile">Cintrón-Arias, Ariel</a>; <a href="/authors/del-valle.sara-y" title="Author Profile">del Valle, Sara</a>; <a href="/authors/sanchez.fabio" title="Author Profile">Sánchez, Fabio</a>; <a href="/authors/song.baojun" title="Author Profile">Song, Baojun</a>; <a href="/authors/hyman.james-m" title="Author Profile">Hyman, James M.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/castillo-chavez.carlos" title="Author Profile">Castillo-Chávez, Carlos</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5356077">1</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_ci more"> <td> <a class="black" href="/0886.92025">Mathematical modeling of pertussis epidemiology.</a> <a class="label nowrap" href="/0886.92025">Zbl 0886.92025</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1104576">1</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1165.35311">Periodic traveling waves in SIRS endemic models.</a> <a class="label nowrap" href="/1165.35311">Zbl 1165.35311</a> <br><a href="/authors/li.tong" title="Author Profile">Li, Tong</a>; <a href="/authors/li.yi" title="Author Profile">Li, Yi</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5580579">8</a> </div> </td> <td> <div class="citation_year">2009</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1097.92040">Simulations of rubella vaccination strategies in China.</a> <a class="label nowrap" href="/1097.92040">Zbl 1097.92040</a> <br><a href="/authors/gao.linda" title="Author Profile">Gao, Linda</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5062228">9</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1089.92050">Competing species models with an infectious disease.</a> <a class="label nowrap" href="/1089.92050">Zbl 1089.92050</a> <br><a href="/authors/saenz.roberto-a" title="Author Profile">Saenz, Roberto A.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5031329">8</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1140.34361">Bifurcations in a host-parasite model with nonlinear incidence.</a> <a class="label nowrap" href="/1140.34361">Zbl 1140.34361</a> <br><a href="/authors/wang.wendi" title="Author Profile">Wang, Wendi</a>; <a href="/authors/li.yi" title="Author Profile">Li, Yi</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5172278">5</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/1152.92343">Mathematical applications associated with the deliberate release of infectious agents.</a> <a class="label nowrap" href="/1152.92343">Zbl 1152.92343</a> <br><a href="/authors/chowell.gerardo" title="Author Profile">Chowell, Gerardo</a>; <a href="/authors/cintron-arias.ariel" title="Author Profile">Cintrón-Arias, Ariel</a>; <a href="/authors/del-valle.sara-y" title="Author Profile">del Valle, Sara</a>; <a href="/authors/sanchez.fabio" title="Author Profile">Sánchez, Fabio</a>; <a href="/authors/song.baojun" title="Author Profile">Song, Baojun</a>; <a href="/authors/hyman.james-m" title="Author Profile">Hyman, James M.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/castillo-chavez.carlos" title="Author Profile">Castillo-Chávez, Carlos</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A5356077">1</a> </div> </td> <td> <div class="citation_year">2006</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1065.92039">Effects of behavioral changes in a smallpox attack model.</a> <a class="label nowrap" href="/1065.92039">Zbl 1065.92039</a> <br><a href="/authors/del-valle.sara-y" title="Author Profile">Del Valle, S.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H.</a>; <a href="/authors/hyman.james-m" title="Author Profile">Hyman, J. M.</a>; <a href="/authors/castillo-chavez.carlos" title="Author Profile">Castillo-Chavez, C.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2193194">41</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1077.92044">Species coexistence and periodicity in host-host-pathogen models.</a> <a class="label nowrap" href="/1077.92044">Zbl 1077.92044</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/wang.wendi" title="Author Profile">Wang, Wendi</a>; <a href="/authors/li.yi" title="Author Profile">Li, Yi</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A2245469">10</a> </div> </td> <td> <div class="citation_year">2005</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1019.92030">Effects of quarantine in six endemic models for infectious diseases.</a> <a class="label nowrap" href="/1019.92030">Zbl 1019.92030</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert</a>; <a href="/authors/zhien.ma" title="Author Profile">Zhien, Ma</a>; <a href="/authors/shengbing.liao" title="Author Profile">Shengbing, Liao</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1891158">145</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1021.92021">New vaccination strategies for pertussis.</a> <a class="label nowrap" href="/1021.92021">Zbl 1021.92021</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1944167">2</a> </div> </td> <td> <div class="citation_year">2002</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0999.92032">Four predator prey models with infectious diseases.</a> <a class="label nowrap" href="/0999.92032">Zbl 0999.92032</a> <br><a href="/authors/han.litao" title="Author Profile">Han, Litao</a>; <a href="/authors/ma.zhien" title="Author Profile">Ma, Zhien</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1755399">74</a> </div> </td> <td> <div class="citation_year">2001</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0993.92033">The mathematics of infectious diseases.</a> <a class="label nowrap" href="/0993.92033">Zbl 0993.92033</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1579035">1,651</a> </div> </td> <td> <div class="citation_year">2000</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0959.92025">Two SIS epidemiologic models with delays.</a> <a class="label nowrap" href="/0959.92025">Zbl 0959.92025</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</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%3A1415612">54</a> </div> </td> <td> <div class="citation_year">2000</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0934.92032">Simulations of pertussis epidemiology in the United States: Effects of adult booster vaccinations.</a> <a class="label nowrap" href="/0934.92032">Zbl 0934.92032</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1359913">17</a> </div> </td> <td> <div class="citation_year">1999</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1323.92211">Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles.</a> <a class="label nowrap" href="/1323.92211">Zbl 1323.92211</a> <br><a href="/authors/schuette.matthew-c" title="Author Profile">Schuette, Matthew C.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A6498901">8</a> </div> </td> <td> <div class="citation_year">1999</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/1043.92525">Hopf bifurcation in models for pertussis epidemiology.</a> <a class="label nowrap" href="/1043.92525">Zbl 1043.92525</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a>; <a href="/authors/li.yi" title="Author Profile">Li, Yi</a>; <a href="/authors/jing.zhujun" title="Author Profile">Jing, Zhujun</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1737700">7</a> </div> </td> <td> <div class="citation_year">1999</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0919.92032">Oscillations in an endemic model for pertussis.</a> <a class="label nowrap" href="/0919.92032">Zbl 0919.92032</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1289759">9</a> </div> </td> <td> <div class="citation_year">1998</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0895.92027">An age-structured model for pertussis transmission.</a> <a class="label nowrap" href="/0895.92027">Zbl 0895.92027</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1092993">27</a> </div> </td> <td> <div class="citation_year">1997</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0884.92025">Modeling heterogeneous mixing in infectious disease dynamics.</a> <a class="label nowrap" href="/0884.92025">Zbl 0884.92025</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A898403">29</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0920.92026">Variations on a theme of SEI endemic models.</a> <a class="label nowrap" href="/0920.92026">Zbl 0920.92026</a> <br><a href="/authors/gao.linda-q" title="Author Profile">Gao, Linda Q.</a>; <a href="/authors/mena-lorca.jaime" title="Author Profile">Mena-Lorca, Jaime</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1302427">4</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0886.92025">Mathematical modeling of pertussis epidemiology.</a> <a class="label nowrap" href="/0886.92025">Zbl 0886.92025</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1104576">1</a> </div> </td> <td> <div class="citation_year">1996</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0836.92022">An SIS epidemic model with variable population size and a delay.</a> <a class="label nowrap" href="/0836.92022">Zbl 0836.92022</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</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%3A845956">74</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0834.92021">Four SEI endemic models with periodicity and separatrices.</a> <a class="label nowrap" href="/0834.92021">Zbl 0834.92021</a> <br><a href="/authors/gao.linda-q" title="Author Profile">Gao, Linda Q.</a>; <a href="/authors/mena-lorca.jaime" title="Author Profile">Mena-Lorca, Jaime</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A812560">27</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0823.92027">Population size dependent incidence in models for diseases without immunity.</a> <a class="label nowrap" href="/0823.92027">Zbl 0823.92027</a> <br><a href="/authors/zhou.jinshi" title="Author Profile">Zhou, Jinshi</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A700913">75</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0819.92020">A thousand and one epidemic models.</a> <a class="label nowrap" href="/0819.92020">Zbl 0819.92020</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A764555">66</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0804.92012">Waning immunity and its effects on vaccination schedules.</a> <a class="label nowrap" href="/0804.92012">Zbl 0804.92012</a> <br><a href="/authors/rouderfer.vladimir" title="Author Profile">Rouderfer, Vladimir</a>; <a href="/authors/becker.niels-g" title="Author Profile">Becker, Niels G.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A703277">19</a> </div> </td> <td> <div class="citation_year">1994</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0793.92011">An epidemiological model for HIV/AIDS with proportional recruitment.</a> <a class="label nowrap" href="/0793.92011">Zbl 0793.92011</a> <br><a href="/authors/lin.x-sheldon" title="Author Profile">Lin, Xiaodong</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</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%3A579290">27</a> </div> </td> <td> <div class="citation_year">1993</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0748.92012">Dynamic models of infectious diseases as regulators of population sizes.</a> <a class="label nowrap" href="/0748.92012">Zbl 0748.92012</a> <br><a href="/authors/mena-lorca.jaime" title="Author Profile">Mena-Lorca, Jaime</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A63999">184</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0774.92018">Disease transmission models with density-dependent demographics.</a> <a class="label nowrap" href="/0774.92018">Zbl 0774.92018</a> <br><a href="/authors/gao.linda-q" title="Author Profile">Gao, Linda Q.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A64000">94</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0805.92026">Modeling HIV transmission and AIDS in the United States.</a> <a class="label nowrap" href="/0805.92026">Zbl 0805.92026</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/van-ark.james-w" title="Author Profile">Van Ark, James W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A107891">51</a> </div> </td> <td> <div class="citation_year">1992</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0722.92015">Some epidemiological models with nonlinear incidence.</a> <a class="label nowrap" href="/0722.92015">Zbl 0722.92015</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</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%3A4191458">198</a> </div> </td> <td> <div class="citation_year">1991</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0715.92028">Epidemiological models with age structure, proportionate mixing, and cross-immunity.</a> <a class="label nowrap" href="/0715.92028">Zbl 0715.92028</a> <br><a href="/authors/castillo-chavez.carlos" title="Author Profile">Castillo-Chavez, C.</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a>; <a href="/authors/andreasen.viggo" title="Author Profile">Andreasen, V.</a>; <a href="/authors/levin.simon-a" title="Author Profile">Levin, S. A.</a>; <a href="/authors/liu.wei-min" title="Author Profile">Liu, W. M.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4179201">105</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0714.92021">An epidemiological model with a delay and a nonlinear incidence rate.</a> <a class="label nowrap" href="/0714.92021">Zbl 0714.92021</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a>; <a href="/authors/lewis.mark-a" title="Author Profile">Lewis, M. A.</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%3A4176891">51</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0682.92012">A model for HIV transmission and AIDS.</a> <a class="label nowrap" href="/0682.92012">Zbl 0682.92012</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4118214">5</a> </div> </td> <td> <div class="citation_year">1989</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0643.92014">Optimal ages of vaccination for measles.</a> <a class="label nowrap" href="/0643.92014">Zbl 0643.92014</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4049455">38</a> </div> </td> <td> <div class="citation_year">1988</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0663.92010">Cross-immunity in the dynamics of homogeneous and heterogeneous populations.</a> <a class="label nowrap" href="/0663.92010">Zbl 0663.92010</a> <br><a href="/authors/castillo-chavez.carlos" title="Author Profile">Castillo-Chavez, Carlos</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/andreasen.viggo" title="Author Profile">Andreasen, Viggo</a>; <a href="/authors/levin.simon-a" title="Author Profile">Levin, Simon A.</a>; <a href="/authors/liu.wei-min" title="Author Profile">Liu, Weimin</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4085473">18</a> </div> </td> <td> <div class="citation_year">1988</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0621.92014">Dynamical behavior of epidemiological models with nonlinear incidence rates.</a> <a class="label nowrap" href="/0621.92014">Zbl 0621.92014</a> <br><a href="/authors/liu.wei-min" title="Author Profile">Liu, Wei-min</a>; <a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/levin.simon-a" title="Author Profile">Levin, Simon A.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4008171">363</a> </div> </td> <td> <div class="citation_year">1987</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0619.92006">Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs.</a> <a class="label nowrap" href="/0619.92006">Zbl 0619.92006</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/van-ark.james-w" title="Author Profile">van Ark, James W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A4006044">100</a> </div> </td> <td> <div class="citation_year">1987</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0582.92024">Stability of the endemic equilibrium in epidemic models with subpopulations.</a> <a class="label nowrap" href="/0582.92024">Zbl 0582.92024</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/thieme.horst-r" title="Author Profile">Thieme, Horst R.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3932853">84</a> </div> </td> <td> <div class="citation_year">1985</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0564.92015">A vaccination model for an endemic disease with maternal antibodies in infants.</a> <a class="label nowrap" href="/0564.92015">Zbl 0564.92015</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3900582">2</a> </div> </td> <td> <div class="citation_year">1985</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0542.92026">Gonorrhea. Transmission dynamics and control.</a> <a class="label nowrap" href="/0542.92026">Zbl 0542.92026</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/yorke.james-a" title="Author Profile">Yorke, James A.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3862999">199</a> </div> </td> <td> <div class="citation_year">1984</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0486.92024">Gonorrhea modeling: A comparison of control methods.</a> <a class="label nowrap" href="/0486.92024">Zbl 0486.92024</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/yorke.james-a" title="Author Profile">Yorke, James A.</a>; <a href="/authors/nold.annett" title="Author Profile">Nold, Annett</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3765600">15</a> </div> </td> <td> <div class="citation_year">1982</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0469.92012">Nonlinear oscillations in epidemic models.</a> <a class="label nowrap" href="/0469.92012">Zbl 0469.92012</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/stech.harlan-w" title="Author Profile">Stech, Harlan W.</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%3A3737439">82</a> </div> </td> <td> <div class="citation_year">1981</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0477.92014">Periodicity and stability in epidemic models: a survey.</a> <a class="label nowrap" href="/0477.92014">Zbl 0477.92014</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/stech.harlan-w" title="Author Profile">Stech, Harlan W.</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%3A3750740">65</a> </div> </td> <td> <div class="citation_year">1981</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0475.92014">Stability analysis for models of diseases without immunity.</a> <a class="label nowrap" href="/0475.92014">Zbl 0475.92014</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/stech.harlan-w" title="Author Profile">Stech, Harlan W.</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%3A3746874">30</a> </div> </td> <td> <div class="citation_year">1981</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0433.92026">Integral equation models for endemic infectious diseases.</a> <a class="label nowrap" href="/0433.92026">Zbl 0433.92026</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/tudor.david-w" title="Author Profile">Tudor, David W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3675694">60</a> </div> </td> <td> <div class="citation_year">1980</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0392.92009">An immunization model for a heterogeneous population.</a> <a class="label nowrap" href="/0392.92009">Zbl 0392.92009</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3609509">84</a> </div> </td> <td> <div class="citation_year">1978</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0355.31004">Schwarz lemma analogues for harmonic functions.</a> <a class="label nowrap" href="/0355.31004">Zbl 0355.31004</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3552902">15</a> </div> </td> <td> <div class="citation_year">1977</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0326.92017">Qualitative analyses of communicable disease models.</a> <a class="label nowrap" href="/0326.92017">Zbl 0326.92017</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3511927">278</a> </div> </td> <td> <div class="citation_year">1976</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0279.92011">Asymptotic behavior in a deterministic epidemic model.</a> <a class="label nowrap" href="/0279.92011">Zbl 0279.92011</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3440222">34</a> </div> </td> <td> <div class="citation_year">1973</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0266.92011">Optimal vaccination schedules in a deterministic model.</a> <a class="label nowrap" href="/0266.92011">Zbl 0266.92011</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a>; <a href="/authors/waltman.paul" title="Author Profile">Waltman, Paul</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3420533">31</a> </div> </td> <td> <div class="citation_year">1973</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0242.34023">Geometric existence proofs for non-linear boundary value problems.</a> <a class="label nowrap" href="/0242.34023">Zbl 0242.34023</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, Herbert W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3382842">1</a> </div> </td> <td> <div class="citation_year">1972</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0199.49902">Error bounds for asymptotic approximations of zeros of transcendental functions.</a> <a class="label nowrap" href="/0199.49902">Zbl 0199.49902</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3318230">29</a> </div> </td> <td> <div class="citation_year">1970</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0189.34404">Bounds for zeros of some special functions.</a> <a class="label nowrap" href="/0189.34404">Zbl 0189.34404</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3302439">19</a> </div> </td> <td> <div class="citation_year">1970</div> </td> </tr> <tr class="pub_py more"> <td> <a class="black" href="/0212.52104">Note on determining the limiting susceptible population in an epidemic model.</a> <a class="label nowrap" href="/0212.52104">Zbl 0212.52104</a> <br><a href="/authors/hethcote.herbert-w" title="Author Profile">Hethcote, H. W.</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A3337353">5</a> </div> </td> <td> <div class="citation_year">1970</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 5,000 Authors</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Agumel.abba-b" title="Citing Publications by this Author">55</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%3Ahethcote.herbert-w+ai%3Ateng.zhi-dong" title="Citing Publications by this Author">40</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%3Ahethcote.herbert-w+ai%3Ajin.zhen" title="Citing Publications by this Author">37</a> </td> <td class="text"> <a href="/authors/jin.zhen" title="Author Profile"> Jin, Zhen </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Ajiang.daqing" title="Citing Publications by this Author">36</a> </td> <td class="text"> <a href="/authors/jiang.daqing" title="Author Profile"> Jiang, Daqing </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Achen.lansun" title="Citing Publications by this Author">33</a> </td> <td class="text"> <a href="/authors/chen.lansun" title="Author Profile"> Chen, Lansun </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Acastillo-chavez.carlos" title="Citing Publications by this Author">29</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%3Ahethcote.herbert-w+ai%3Ahethcote.herbert-w" title="Citing Publications by this Author">29</a> </td> <td class="text"> <a href="/authors/hethcote.herbert-w" title="Author Profile"> Hethcote, Herbert W. </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Avan-den-driessche.pauline" title="Citing Publications by this Author">28</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=ra%3Ahethcote.herbert-w+ai%3Afeng.zhilan" title="Citing Publications by this Author">27</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%3Ahethcote.herbert-w+ai%3Awang.wendi" title="Citing Publications by this Author">24</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%3Ahethcote.herbert-w+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%3Ahethcote.herbert-w+ai%3Ali.xuezhi" title="Citing Publications by this Author">23</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%3Ahethcote.herbert-w+ai%3Aventurino.ezio" title="Citing Publications by this Author">22</a> </td> <td class="text"> <a href="/authors/venturino.ezio" title="Author Profile"> Venturino, Ezio </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Aallen.linda-j-s" title="Citing Publications by this Author">21</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%3Ahethcote.herbert-w+ai%3Awang.weiming" title="Citing Publications by this Author">21</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%3Ahethcote.herbert-w+ai%3Aghosh.mini" title="Citing Publications by this Author">20</a> </td> <td class="text"> <a href="/authors/ghosh.mini" title="Author Profile"> Ghosh, Mini </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Acai.yongli" title="Citing Publications by this Author">19</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%3Ahethcote.herbert-w+ai%3Aliu.shengqiang" title="Citing Publications by this Author">19</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%3Ahethcote.herbert-w+ai%3Ama.zhien" title="Citing Publications by this Author">19</a> </td> <td class="text"> <a href="/authors/ma.zhien" title="Author Profile"> Ma, Zhien </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Ahuo.hai-feng" title="Citing Publications by this Author">18</a> </td> <td class="text"> <a href="/authors/huo.hai-feng" title="Author Profile"> Huo, Hai-Feng </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Ameng.xinzhu" title="Citing Publications by this Author">18</a> </td> <td class="text"> <a href="/authors/meng.xinzhu" title="Author Profile"> Meng, Xinzhu </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Azhang.tailei" title="Citing Publications by this Author">18</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%3Ahethcote.herbert-w+ai%3Abowong.samuel" title="Citing Publications by this Author">17</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%3Ahethcote.herbert-w+ai%3Acui.jingan" title="Citing Publications by this Author">17</a> </td> <td class="text"> <a href="/authors/cui.jingan" title="Author Profile"> Cui, Jingan </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Amartcheva.maia" title="Citing Publications by this Author">17</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%3Ahethcote.herbert-w+ai%3Aqiu.zhipeng" title="Citing Publications by this Author">17</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%3Ahethcote.herbert-w+ai%3Achattopadhyay.joydev" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/chattopadhyay.joydev" title="Author Profile"> Chattopadhyay, Joydev </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Ahayat.tasawar" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/hayat.tasawar" title="Author Profile"> Hayat, Tasawar </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Alahrouz.aadil" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/lahrouz.aadil" title="Author Profile"> Lahrouz, Aadil </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Amisra.arvind-kumar" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/misra.arvind-kumar" title="Author Profile"> Misra, Arvind Kumar </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Aruan.shigui" title="Citing Publications by this Author">16</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%3Ahethcote.herbert-w+ai%3Asun.guiquan" title="Citing Publications by this Author">16</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%3Ahethcote.herbert-w+ai%3Atakeuchi.yasuhiro" title="Citing Publications by this Author">16</a> </td> <td class="text"> <a href="/authors/takeuchi.yasuhiro" title="Author Profile"> Takeuchi, Yasuhiro </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+ai%3Aliu.qun" title="Citing Publications by this 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(English Edition) </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1639" title="Citing Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A1639" title="Serial Profile"> SIAM Review </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A2177" title="Citing Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A2177" title="Serial Profile"> Discrete and Continuous Dynamical Systems </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A2718" title="Citing Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A2718" title="Serial Profile"> International Journal of Nonlinear Sciences and Numerical Simulation </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A2851" title="Citing Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A2851" title="Serial Profile"> Journal of Systems Science and Complexity </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A10432" title="Citing Publications in this Serial">6</a> </td> <td class="text"> <a href="/serials/?q=se%3A10432" title="Serial Profile"> Trends in Computational and Applied Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A707" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A707" title="Serial Profile"> SIAM Journal on Control and Optimization </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A965" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A965" title="Serial Profile"> Acta Applicandae Mathematicae </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1050" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A1050" title="Serial Profile"> Acta Mathematicae Applicatae Sinica. English Series </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1259" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A1259" title="Serial Profile"> Journal of Integral Equations and Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1625" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A1625" title="Serial Profile"> Proceedings of the National Academy of Sciences of the United States of America </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1790" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A1790" title="Serial Profile"> International Journal of Robust and Nonlinear Control </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1957" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A1957" title="Serial Profile"> Electronic Journal of Differential Equations (EJDE) </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A6208" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A6208" title="Serial Profile"> Nonlinear Analysis. Hybrid Systems </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A8132" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A8132" title="Serial Profile"> Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A8366" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A8366" title="Serial Profile"> Nonlinear Analysis. Theory, Methods & Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A8984" title="Citing Publications in this Serial">5</a> </td> <td class="text"> <a href="/serials/?q=se%3A8984" title="Serial Profile"> AIMS Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A64" title="Citing Publications in this Serial">4</a> </td> <td class="text"> <a href="/serials/?q=se%3A64" title="Serial Profile"> Computer Methods in Applied Mechanics and Engineering </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A173" title="Citing Publications in this Serial">4</a> </td> <td class="text"> <a href="/serials/?q=se%3A173" title="Serial Profile"> Nonlinearity </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A816" title="Citing Publications in this Serial">4</a> </td> <td class="text"> <a href="/serials/?q=se%3A816" title="Serial Profile"> Optimal Control Applications & Methods </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1033" title="Citing Publications in this Serial">4</a> </td> <td class="text"> <a href="/serials/?q=se%3A1033" title="Serial Profile"> Applied Numerical Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1319" title="Citing Publications in this Serial">4</a> </td> <td class="text"> <a href="/serials/?q=se%3A1319" title="Serial Profile"> Annals of Operations Research </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1605" title="Citing Publications in this Serial">4</a> </td> <td class="text"> <a href="/serials/?q=se%3A1605" title="Serial Profile"> Linear Algebra and its Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1638" title="Citing Publications in this Serial">4</a> </td> <td class="text"> <a href="/serials/?q=se%3A1638" title="Serial Profile"> SIAM Journal on Mathematical Analysis </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+se%3A1887" title="Citing Publications in this Serial">4</a> </td> <td class="text"> <a href="/serials/?q=se%3A1887" title="Serial Profile"> Applied Mathematics. Series B (English Edition) </a> </td></tr> <tr class="more"> <td colspan="2">...and 253 more Serials</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>Cited in 44 Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A92" title="Citing Publications in this Field">2,957</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=ra%3Ahethcote.herbert-w+cc%3A34" title="Citing Publications in this Field">1,389</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=ra%3Ahethcote.herbert-w+cc%3A37" title="Citing Publications in this Field">410</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=ra%3Ahethcote.herbert-w+cc%3A35" title="Citing Publications in this Field">406</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations <span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A60" title="Citing Publications in this Field">287</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 class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A91" title="Citing Publications in this Field">216</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=ra%3Ahethcote.herbert-w+cc%3A65" title="Citing Publications in this Field">213</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=ra%3Ahethcote.herbert-w+cc%3A49" title="Citing Publications in this Field">160</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%3Ahethcote.herbert-w+cc%3A93" title="Citing Publications in this Field">147</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%3Ahethcote.herbert-w+cc%3A62" title="Citing Publications in this Field">100</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%3Ahethcote.herbert-w+cc%3A82" title="Citing Publications in this Field">66</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%3Ahethcote.herbert-w+cc%3A45" title="Citing Publications in this Field">63</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%3Ahethcote.herbert-w+cc%3A05" title="Citing Publications in this Field">62</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%3Ahethcote.herbert-w+cc%3A68" title="Citing Publications in this Field">56</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%3Ahethcote.herbert-w+cc%3A39" title="Citing Publications in this Field">49</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%3Ahethcote.herbert-w+cc%3A90" title="Citing Publications in this Field">47</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%3Ahethcote.herbert-w+cc%3A33" title="Citing Publications in this Field">36</a> </td> <td class="text"> <a href="/classification/?q=cc%3A33" title="Mathematics Subject Classification"> Special functions <span style="white-space: nowrap;">(33-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A47" title="Citing Publications in this Field">26</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%3Ahethcote.herbert-w+cc%3A26" title="Citing Publications in this Field">24</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%3Ahethcote.herbert-w+cc%3A41" title="Citing Publications in this Field">18</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%3Ahethcote.herbert-w+cc%3A30" title="Citing Publications in this Field">16</a> </td> <td class="text"> <a href="/classification/?q=cc%3A30" title="Mathematics Subject Classification"> Functions of a complex variable <span style="white-space: nowrap;">(30-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A31" title="Citing Publications in this Field">13</a> </td> <td class="text"> <a href="/classification/?q=cc%3A31" title="Mathematics Subject Classification"> Potential theory <span style="white-space: nowrap;">(31-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A15" title="Citing Publications in this Field">11</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%3Ahethcote.herbert-w+cc%3A94" title="Citing Publications in this Field">7</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%3Ahethcote.herbert-w+cc%3A00" title="Citing Publications in this Field">6</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%3Ahethcote.herbert-w+cc%3A44" title="Citing Publications in this Field">6</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%3Ahethcote.herbert-w+cc%3A76" title="Citing Publications in this Field">5</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%3Ahethcote.herbert-w+cc%3A81" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A81" title="Mathematics Subject Classification"> Quantum theory <span style="white-space: nowrap;">(81-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A28" title="Citing Publications in this Field">4</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%3Ahethcote.herbert-w+cc%3A55" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A55" title="Mathematics Subject Classification"> Algebraic topology <span style="white-space: nowrap;">(55-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A58" title="Citing Publications in this Field">4</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%3Ahethcote.herbert-w+cc%3A46" title="Citing Publications in this Field">3</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%3Ahethcote.herbert-w+cc%3A70" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems <span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A80" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A80" title="Mathematics Subject Classification"> Classical thermodynamics, heat transfer <span style="white-space: nowrap;">(80-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A13" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A13" title="Mathematics Subject Classification"> Commutative algebra <span style="white-space: nowrap;">(13-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A54" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A54" title="Mathematics Subject Classification"> General topology <span style="white-space: nowrap;">(54-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A86" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A86" title="Mathematics Subject Classification"> Geophysics <span style="white-space: nowrap;">(86-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+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%3Ahethcote.herbert-w+cc%3A06" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A06" title="Mathematics Subject Classification"> Order, lattices, ordered algebraic structures <span style="white-space: nowrap;">(06-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+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%3Ahethcote.herbert-w+cc%3A17" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A17" title="Mathematics Subject Classification"> Nonassociative rings and algebras <span style="white-space: nowrap;">(17-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A42" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A42" title="Mathematics Subject Classification"> Harmonic analysis on Euclidean spaces <span style="white-space: nowrap;">(42-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+cc%3A52" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A52" title="Mathematics Subject Classification"> Convex and discrete geometry <span style="white-space: nowrap;">(52-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=ra%3Ahethcote.herbert-w+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:1970, frequency:1 },{ year:1972, frequency:1 },{ year:1975, frequency:1 },{ year:1976, frequency:3 },{ year:1977, frequency:3 },{ year:1978, frequency:4 },{ year:1980, frequency:5 },{ year:1981, frequency:3 },{ year:1982, frequency:7 },{ year:1983, frequency:6 },{ year:1984, frequency:4 },{ year:1985, frequency:7 },{ year:1986, frequency:6 },{ year:1987, frequency:7 },{ year:1988, frequency:13 },{ year:1989, frequency:9 },{ year:1990, frequency:6 },{ year:1991, frequency:16 },{ year:1992, frequency:10 },{ year:1993, frequency:9 },{ year:1994, frequency:13 },{ year:1995, frequency:18 },{ year:1996, frequency:15 },{ year:1997, frequency:13 },{ year:1998, frequency:6 },{ year:1999, frequency:21 },{ year:2000, frequency:24 },{ year:2001, frequency:17 },{ year:2002, frequency:30 },{ year:2003, frequency:31 },{ year:2004, frequency:37 },{ year:2005, frequency:45 },{ year:2006, frequency:54 },{ year:2007, frequency:84 },{ year:2008, frequency:105 },{ year:2009, frequency:96 },{ year:2010, frequency:100 },{ year:2011, frequency:89 },{ year:2012, frequency:124 },{ year:2013, frequency:89 },{ year:2014, frequency:152 },{ year:2015, frequency:144 },{ year:2016, frequency:151 },{ year:2017, frequency:152 },{ year:2018, frequency:176 },{ year:2019, frequency:190 },{ year:2020, frequency:279 },{ year:2021, frequency:277 },{ year:2022, frequency:233 },{ year:2023, frequency:205 },{ year:2024, frequency:161 },{ year:2025, frequency:40 }]; 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%3Ahethcote.herbert-w+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> <div class="wikidata_query"> <h3> <a role="button" data-toggle="collapse" href="#wikidata_timeline" aria-expanded="false" aria-controls="wikidata_timeline" onclick="$(this).children('.glyphicon').toggle();"> <span class="glyphicon glyphicon-triangle-right" aria-hidden="true"></span> <span class="glyphicon glyphicon-triangle-bottom" aria-hidden="true" style="display: none;"></span> Wikidata Timeline </a> </h3> <div class="collapse" id="wikidata_timeline"> <iframe style="width: 100%; height: 401px; border: 1px solid #aaa;" data-src="https://query.wikidata.org/embed.html#PREFIX%20xsd%3A%20%3Chttp%3A%2F%2Fwww.w3.org%2F2001%2FXMLSchema%23%3E%0A%0A%23defaultView%3ATimeline%0ASELECT%20DISTINCT%20%3Ftimestamp%20%3Fentity%20%3FrelationLabel%20%3FentityLabel%20%28SAMPLE%28%3Fimage%29%20AS%20%3Fimg%29%20WHERE%20%7B%0A%20%20BIND%28wd%3AQ101541521%20AS%20%3Fperson%29%0A%20%20%7B%0A%20%20%20%20%3Fperson%20%3Fproperty%20%3Ftimestamp.%0A%20%20%20%20%3Fentity%20wikibase%3AdirectClaim%20%3Fproperty.%0A%20%20%20%20FILTER%28%28DATATYPE%28%3Ftimestamp%29%29%20%3D%20xsd%3AdateTime%29%0A%20%20%7D%0A%20%20UNION%0A%20%20%7B%0A%20%20%20%20%3Fperson%20%3FentityToStatement%20%3Fstatement.%0A%20%20%20%20OPTIONAL%20%7B%3Fperson%20wdt%3AP570%20%3FdDate.%7D%0A%20%20%20%20%3Fstatement%20%3FstatementToQualifier%20%3Ftimestamp.%0A%20%20%20%20%3Fstatement%20%3FstatementToValue%20%3Fentity.%0A%20%20%20%20%3Frelation%20wikibase%3AstatementProperty%20%3FstatementToValue.%0A%20%20%20%20FILTER%28REGEX%28STR%28%3FentityToStatement%29%2C%20%22prop%2FP%22%29%29%0A%20%20%20%20FILTER%28REGEX%28STR%28%3FstatementToQualifier%29%2C%20%22prop%2Fqualifier%2FP%22%29%29%0A%20%20%20%20FILTER%28%28DATATYPE%28%3Ftimestamp%29%29%20%3D%20xsd%3AdateTime%29%0A%20%20%20%20BIND%20%28IF%28%21BOUND%28%3FdDate%29%2C%20now%28%29%2C%20%3FdDate%29%20AS%20%3FdeathDate%29%0A%20%20%20%20FILTER%28%3Ftimestamp%20%3C%3D%20%3FdeathDate%29%0A%20%20%7D%0A%20%20UNION%0A%20%20%7B%0A%20%20%20%20BIND%28wd%3AP50%20AS%20%3Frelation%29%0A%20%20%20%20%3Frelation%20wikibase%3AdirectClaim%20%3Fproperty.%0A%20%20%20%20%3Fentity%20%3Fproperty%20%3Fperson.%0A%20%20%20%20%3Fentity%20wdt%3AP577%20%3Ftimestamp.%0A%20%20%20%20FILTER%28NOT%20EXISTS%20%7B%20%3Fperson%20wdt%3AP800%20%3Fentity%20%7D%29%0A%20%20%7D%0A%20%20UNION%0A%20%20%7B%0A%20%20%20%20BIND%28wd%3AP800%20AS%20%3Frelation%29%0A%20%20%20%20%3Frelation%20wikibase%3AdirectClaim%20%3Fproperty.%0A%20%20%20%20%3Fperson%20%3Fproperty%20%3Fentity.%0A%20%20%20%20%3Fentity%20wdt%3AP577%20%3Ftimestamp.%0A%20%20%7D%0A%20%20OPTIONAL%20%7B%20%3Fentity%20wdt%3AP18%20%3Fimage%20%7D%0A%20%20SERVICE%20wikibase%3Alabel%20%7B%20bd%3AserviceParam%20wikibase%3Alanguage%20%22en%2Cde%2Cfr%22%20%7D%0A%7D%0AGROUP%20BY%20%3Ftimestamp%20%3Fentity%20%3FrelationLabel%20%3FentityLabel" referrerpolicy="origin"></iframe> <small>The data are displayed as stored in Wikidata under a <a href="https://creativecommons.org/publicdomain/zero/1.0/">Creative Commons CC0 License</a>. 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Herbert W. Hethcote - Author Profile - zbMATH Open