<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of halsde-00732800</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-13T00:59:12+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Mathematical modeling of sterile insect technology for control of anopheles mosquito</title>
            <author role="aut">
              <persName>
                <forename type="first">Roumen</forename>
                <surname>Anguelov</surname>
              </persName>
              <idno type="halauthorid">441672-0</idno>
              <affiliation ref="#struct-203264"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Yves</forename>
                <surname>Dumont</surname>
              </persName>
              <email type="md5">2b86df58e59e2e31e13ee100dc8019f8</email>
              <email type="domain">cirad.fr</email>
              <idno type="idhal" notation="string">yves-dumont</idno>
              <idno type="idhal" notation="numeric">180443</idno>
              <idno type="halauthorid" notation="string">2527271-180443</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-4817-685X</idno>
              <idno type="IDREF">https://www.idref.fr/196096758</idno>
              <affiliation ref="#struct-609"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jean M.-S</forename>
                <surname>Lubuma</surname>
              </persName>
              <email type="md5">e0a124889afc9060621fbc6da7a57ecb</email>
              <email type="domain">up.ac.za</email>
              <idno type="idhal" notation="numeric">930224</idno>
              <idno type="halauthorid" notation="string">441673-930224</idno>
              <affiliation ref="#struct-203264"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Yannick</forename>
                <surname>Brohard</surname>
              </persName>
              <email type="md5">f1f7b9166c5471db9d3e009ea60fe327</email>
              <email type="domain">cirad.fr</email>
            </editor>
            <funder>SIT program (CRVOI, Réunion Island, France) ; French Ministry of Health ; National Research Foundation of South Africa</funder>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2012-09-17 09:54:18</date>
              <date type="whenModified">2026-05-12 17:02:03</date>
              <date type="whenReleased">2012-09-17 09:54:18</date>
              <date type="whenProduced">2012</date>
              <ref type="externalLink" target="https://api.istex.fr/ark:/67375/6H6-XQVKVSNP-R/fulltext.pdf?sid=hal"/>
              <fs>
                <f name="inra_publicVise_local" notation="string" n="SC">
                  <string>inra_publicVise_local_SC</string>
                </f>
              </fs>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="103530">
                <persName>
                  <forename>Yannick</forename>
                  <surname>Brohard</surname>
                </persName>
                <email type="md5">f1f7b9166c5471db9d3e009ea60fe327</email>
                <email type="domain">cirad.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">halsde-00732800</idno>
            <idno type="halUri">https://hal.science/halsde-00732800</idno>
            <idno type="halBibtex">anguelov:halsde-00732800</idno>
            <idno type="halRefHtml">&lt;i&gt;Computers &amp; Mathematics with Applications&lt;/i&gt;, 2012, 64 (3), pp.374-389. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.camwa.2012.02.068"&gt;&amp;#x27E8;10.1016/j.camwa.2012.02.068&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Computers &amp; Mathematics with Applications, 2012, 64 (3), pp.374-389. &amp;#x27E8;10.1016/j.camwa.2012.02.068&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CIRAD">CIRAD - Centre de coopération internationale en recherche agronomique pour le développement</idno>
            <idno type="stamp" n="SDE">Sciences De l'Environnement</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRA">INRA - Institut national de la recherche agronomique</idno>
            <idno type="stamp" n="AMAP">Botanique et bio-informatique de l'architecture des plantes et des végétations</idno>
            <idno type="stamp" n="GIP-BE">GIP Bretagne Environnement</idno>
            <idno type="stamp" n="AGROPOLIS">Agropolis</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="AGREENIUM">Archive ouverte en agrobiosciences</idno>
            <idno type="stamp" n="B3ESTE">Biologie, Ecologie, Evolution, Environnement, Sciences de la Terre et de l'Eau</idno>
            <idno type="stamp" n="UNIV-MONTPELLIER">Université de Montpellier</idno>
            <idno type="stamp" n="INRAE">Institut National de Recherche en Agriculture, Alimentation et Environnement</idno>
            <idno type="stamp" n="INRAEOCCITANIEMONTPELLIER" corresp="INRAE">INRAE Occitanie Montpellier</idno>
            <idno type="stamp" n="UM-2015-2021" corresp="UNIV-MONTPELLIER">Université de Montpellier (2015-2021)</idno>
          </seriesStmt>
          <notesStmt>
            <note type="commentary">ACL-12-43</note>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Mathematical modeling of sterile insect technology for control of anopheles mosquito</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Roumen</forename>
                    <surname>Anguelov</surname>
                  </persName>
                  <idno type="halauthorid">441672-0</idno>
                  <affiliation ref="#struct-203264"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Yves</forename>
                    <surname>Dumont</surname>
                  </persName>
                  <email type="md5">2b86df58e59e2e31e13ee100dc8019f8</email>
                  <email type="domain">cirad.fr</email>
                  <idno type="idhal" notation="string">yves-dumont</idno>
                  <idno type="idhal" notation="numeric">180443</idno>
                  <idno type="halauthorid" notation="string">2527271-180443</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-4817-685X</idno>
                  <idno type="IDREF">https://www.idref.fr/196096758</idno>
                  <affiliation ref="#struct-609"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean M.-S</forename>
                    <surname>Lubuma</surname>
                  </persName>
                  <email type="md5">e0a124889afc9060621fbc6da7a57ecb</email>
                  <email type="domain">up.ac.za</email>
                  <idno type="idhal" notation="numeric">930224</idno>
                  <idno type="halauthorid" notation="string">441673-930224</idno>
                  <affiliation ref="#struct-203264"/>
                </author>
              </analytic>
              <monogr>
                <idno type="localRef">ACL-12-43</idno>
                <idno type="halJournalId" status="VALID">4108</idno>
                <idno type="issn">0898-1221</idno>
                <title level="j">Computers &amp; Mathematics with Applications</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">64</biblScope>
                  <biblScope unit="issue">3</biblScope>
                  <biblScope unit="pp">374-389</biblScope>
                  <date type="datePub">2012</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.camwa.2012.02.068</idno>
              <idno type="prodinra">244489</idno>
              <idno type="wos">000307147600022</idno>
              <ref target="http://hal-sde.archives-ouvertes.fr/halsde-00732800" type="seeAlso"/>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="it">Sterileinsecttechnology</term>
                <term xml:lang="it">Compartmental modeling</term>
                <term xml:lang="it">Mosquitocontrol</term>
                <term xml:lang="it">Monotone operators</term>
              </keywords>
              <classCode scheme="halDomain" n="info.info-mo">Computer Science [cs]/Modeling and Simulation</classCode>
              <classCode scheme="halDomain" n="sde.be">Environmental Sciences/Biodiversity and Ecology</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Modelling the biomechanics of growing trees is a non-classical problem, as the usual framework of structural mechanics does not take into account the evolution of the domain geometry due to growth processes. Incremental approaches have been used in rod theory to bypass this problem and to model the addition of new material points on an existing deformed structure. However, these approaches are based on the explicit time numerical algorithm of an unknown continuous model, and thus, the accuracy of the numerical results obtained cannot be analysed. A new continuous space-time formulation has been recently proposed to model the biomechanical response of growing rods. The aim of this paper is to discretise the corresponding non-linear system of partial differential equations and the linearised system in order to compare the numerical results with analytical solutions of the linearised problem. The finite element method is implemented to compute the space boundary problem and different time integration schemes are considered to solve the associated initial value problem with a special attention to the forward Euler method which is the analogue of the previously used incremental approach. The numerical results point out that the accuracy of the time integration schemes strongly depends on the value of the parameters. The forward Euler method may present slow convergence property and errors with significant orders of magnitude. Nevertheless, attention must be paid to implicit methods since, for specific values of the parameters and large time steps, they may lead to spurious solutions that may come from numerical instabilities. Hence, the second order Heun's method is an interesting alternative even if it is more time consuming.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-203264" status="VALID">
          <orgName>Department of Mathematics and Applied Mathematics [Pretoria]</orgName>
          <desc>
            <address>
              <addrLine>University of Pretoria, Private Bag x 20, Hatfield</addrLine>
              <country key="ZA"/>
            </address>
            <ref type="url">https://www.up.ac.za/mathematics-and-applied-mathematics/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-332738" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-609" status="OLD">
          <idno type="IdRef">034922970</idno>
          <idno type="ISNI">000000012160870X</idno>
          <idno type="RNSR">200317641S</idno>
          <idno type="ROR">https://ror.org/020nks034</idno>
          <orgName>Botanique et Modélisation de l'Architecture des Plantes et des Végétations</orgName>
          <orgName type="acronym">UMR AMAP</orgName>
          <date type="start">2014-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>Bd de la Lironde TA A-51/ PS 2 34398 Montpellier cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://amap.cirad.fr/</ref>
          </desc>
          <listRelation>
            <relation name="UMR 51-2003" active="#struct-11574" type="direct"/>
            <relation name="UMR 931" active="#struct-92114" type="direct"/>
            <relation active="#struct-410122" type="direct"/>
            <relation name="UMR5120" active="#struct-441569" type="direct"/>
            <relation name="UMR 123" active="#struct-451860" type="direct"/>
            <relation active="#struct-67872" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-332738" status="VALID">
          <idno type="ROR">https://ror.org/00g0p6g84</idno>
          <orgName>University of Pretoria [South Africa]</orgName>
          <orgName type="acronym">UP</orgName>
          <desc>
            <address>
              <addrLine>Lynnwood Road and Roper Street, Hatfield, South Africa</addrLine>
              <country key="ZA"/>
            </address>
            <ref type="url">https://www.up.ac.za/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-11574" status="VALID">
          <idno type="ISNI">0000000121539871</idno>
          <idno type="ROR">https://ror.org/05kpkpg04</idno>
          <orgName>Centre de Coopération Internationale en Recherche Agronomique pour le Développement</orgName>
          <orgName type="acronym">Cirad</orgName>
          <date type="start">1984-06-01</date>
          <desc>
            <address>
              <addrLine>Siège 42, rue Scheffer 75116 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cirad.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-92114" status="OLD">
          <idno type="ROR">https://ror.org/01x3gbx83</idno>
          <orgName>Institut National de la Recherche Agronomique</orgName>
          <orgName type="acronym">INRA</orgName>
          <date type="start">1946-05-18</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inra.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-410122" status="OLD">
          <idno type="ISNI">0000000120970141</idno>
          <idno type="ROR">https://ror.org/051escj72</idno>
          <orgName>Université de Montpellier</orgName>
          <orgName type="acronym">UM</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>163 rue Auguste Broussonnet - 34090 Montpellier</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.umontpellier.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="regrouplaboratory" xml:id="struct-451860" status="VALID">
          <orgName>Institut de Recherche pour le Développement - délégation Occitanie</orgName>
          <orgName type="acronym">IRD [Occitanie]</orgName>
          <desc>
            <address>
              <addrLine>911 avenue Agropolis,BP 6450134394 Montpellier cedex 5</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://occitanie.ird.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-67872" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-67872" status="VALID">
          <idno type="IdRef">050165224</idno>
          <idno type="ROR">https://ror.org/05q3vnk25</idno>
          <orgName>Institut de Recherche pour le Développement</orgName>
          <orgName type="acronym">IRD</orgName>
          <desc>
            <address>
              <addrLine>SiègeLe Sextant 44, bd de DunkerqueCS 9000913572 Marseille cedex 02</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ird.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>