<?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 hal-00848375</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="2026-05-23T20:10:16+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Dynamic game for optimal resource allocation of annual plants and grazing consumers</title>
            <author role="aut">
              <persName>
                <forename type="first">Andrei R.</forename>
                <surname>Akhmetzhanov</surname>
              </persName>
              <idno type="halauthorid">724716-0</idno>
              <affiliation ref="#struct-147973"/>
              <affiliation ref="#struct-189522"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Pierre</forename>
                <surname>Bernhard</surname>
              </persName>
              <idno type="halauthorid">145004-0</idno>
              <affiliation ref="#struct-147973"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Frédéric</forename>
                <surname>Grognard</surname>
              </persName>
              <email type="md5">a64383d97c3fe2e63bbdd9cd3b3be11e</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">frederic-grognard</idno>
              <idno type="idhal" notation="numeric">1565</idno>
              <idno type="halauthorid" notation="string">121681-1565</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-0805-775X</idno>
              <idno type="IDREF">https://www.idref.fr/149661851</idno>
              <affiliation ref="#struct-147973"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Ludovic</forename>
                <surname>Mailleret</surname>
              </persName>
              <email type="md5">2544becc14527742b530d36e605ad607</email>
              <email type="domain">inrae.fr</email>
              <idno type="idhal" notation="string">ludovic-mailleret</idno>
              <idno type="idhal" notation="numeric">735781</idno>
              <idno type="halauthorid" notation="string">1054-735781</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-7019-8401</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?user=wdbtq24AAAAJ&amp;hl=fr</idno>
              <idno type="IDREF">https://www.idref.fr/082866112</idno>
              <affiliation ref="#struct-147973"/>
              <affiliation ref="#struct-17323"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Jean-Luc</forename>
                <surname>Gouzé</surname>
              </persName>
              <email type="md5">23c91427830ed3526120e4e28243384f</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2013-07-26 10:28:58</date>
              <date type="whenModified">2025-08-26 15:21:01</date>
              <date type="whenReleased">2013-07-26 10:28:58</date>
              <date type="whenProduced">2011</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="184063">
                <persName>
                  <forename>Jean-Luc</forename>
                  <surname>Gouzé</surname>
                </persName>
                <email type="md5">23c91427830ed3526120e4e28243384f</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00848375</idno>
            <idno type="halUri">https://inria.hal.science/hal-00848375</idno>
            <idno type="halBibtex">akhmetzhanov:hal-00848375</idno>
            <idno type="halRefHtml">&lt;i&gt;European Conference on Mathematical and Theoretical Biology&lt;/i&gt;, 2011, Krakow, Poland</idno>
            <idno type="halRef">European Conference on Mathematical and Theoretical Biology, 2011, Krakow, Poland</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="INSU">INSU - Institut National des Sciences de l'Univers</idno>
            <idno type="stamp" n="UPMC" corresp="SORBONNE-UNIVERSITE">Université Pierre et Marie Curie</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="INRA">INRA - Institut national de la recherche agronomique</idno>
            <idno type="stamp" n="INRIA-SOPHIA">INRIA Sophia Antipolis - Méditerranée</idno>
            <idno type="stamp" n="INRIASO">INRIA-SOPHIA</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="LOV" corresp="SORBONNE-UNIVERSITE">Laboratoire d'Océanographie de Villefranche</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="AGREENIUM">Archive ouverte en agrobiosciences</idno>
            <idno type="stamp" n="UPMC_POLE_3" corresp="UPMC">UPMC Pôle 3</idno>
            <idno type="stamp" n="UNIV-COTEDAZUR">Université Côte d'Azur</idno>
            <idno type="stamp" n="SORBONNE-UNIVERSITE">Sorbonne Université</idno>
            <idno type="stamp" n="SU-SCIENCES" corresp="SORBONNE-UNIVERSITE">Faculté des Sciences de Sorbonne Université</idno>
            <idno type="stamp" n="SU-SCI" corresp="SORBONNE-UNIVERSITE">Sciences - Sorbonne Université</idno>
            <idno type="stamp" n="UMS-829" corresp="SORBONNE-UNIVERSITE">Institut de la mer de Villefranche</idno>
            <idno type="stamp" n="INRAE">Institut National de Recherche en Agriculture, Alimentation et Environnement</idno>
            <idno type="stamp" n="ALLIANCE-SU"> Alliance Sorbonne Université</idno>
            <idno type="stamp" n="M2P2-ISA">M2P2-ISA</idno>
            <idno type="stamp" n="INRIA-CANADA">INRIA-CANADA</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="invited" n="0">No</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
            <note type="proceedings" n="0">No</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Dynamic game for optimal resource allocation of annual plants and grazing consumers</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Andrei R.</forename>
                    <surname>Akhmetzhanov</surname>
                  </persName>
                  <idno type="halauthorid">724716-0</idno>
                  <affiliation ref="#struct-147973"/>
                  <affiliation ref="#struct-189522"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Pierre</forename>
                    <surname>Bernhard</surname>
                  </persName>
                  <idno type="halauthorid">145004-0</idno>
                  <affiliation ref="#struct-147973"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Frédéric</forename>
                    <surname>Grognard</surname>
                  </persName>
                  <email type="md5">a64383d97c3fe2e63bbdd9cd3b3be11e</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">frederic-grognard</idno>
                  <idno type="idhal" notation="numeric">1565</idno>
                  <idno type="halauthorid" notation="string">121681-1565</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-0805-775X</idno>
                  <idno type="IDREF">https://www.idref.fr/149661851</idno>
                  <affiliation ref="#struct-147973"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Ludovic</forename>
                    <surname>Mailleret</surname>
                  </persName>
                  <email type="md5">2544becc14527742b530d36e605ad607</email>
                  <email type="domain">inrae.fr</email>
                  <idno type="idhal" notation="string">ludovic-mailleret</idno>
                  <idno type="idhal" notation="numeric">735781</idno>
                  <idno type="halauthorid" notation="string">1054-735781</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-7019-8401</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.com/citations?user=wdbtq24AAAAJ&amp;hl=fr</idno>
                  <idno type="IDREF">https://www.idref.fr/082866112</idno>
                  <affiliation ref="#struct-147973"/>
                  <affiliation ref="#struct-17323"/>
                </author>
              </analytic>
              <monogr>
                <meeting>
                  <title>European Conference on Mathematical and Theoretical Biology</title>
                  <date type="start">2011</date>
                  <settlement>Krakow</settlement>
                  <country key="PL">Poland</country>
                </meeting>
                <imprint>
                  <date type="datePub">2011</date>
                </imprint>
              </monogr>
              <ref target="http://www.impan.pl/~ecmtb11/showabstract.php?id=Grognard_Frederic" type="seeAlso"/>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="spi">Engineering Sciences [physics]</classCode>
              <classCode scheme="halDomain" n="math.math-gm">Mathematics [math]/General Mathematics [math.GM]</classCode>
              <classCode scheme="halDomain" n="info.info-au">Computer Science [cs]/Automatic Control Engineering</classCode>
              <classCode scheme="halDomain" n="sdv">Life Sciences [q-bio]</classCode>
              <classCode scheme="halTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halOldTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halTreeTypology" n="COMM">Conference papers</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>In [1] authors have formulated a model of optimal resource allocation in annual plants with constant grazing pressure along a season of fixed length. The plant has two choices: either to invest nutrients in the vegetative part of the plant or in the reproductive part. This kind of problem has been stated and solved as a problem of optimal control using Pontryagin's maximum principle. In our work we consider a similar model but we take into account that the grazing pressure on the plant varies in time and occurs due to the presence of consumers in the system. Consumers are also faced with an allocation dilemma between the investment of time in increasing their internal energy through grazing or in reproduction (see for details [2]). Hence we are dealing here with a dynamic game of two players which are known to be fairly advanced mathematical objects [3]. Its resolution address interesting questions such as the influence of an adaptive, rather than fixed, grazing pressure on plants phenology.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-147973" status="OLD">
          <idno type="RNSR">201121226D</idno>
          <orgName>Biological control of artificial ecosystems</orgName>
          <orgName type="acronym">BIOCORE</orgName>
          <desc>
            <address>
              <addrLine>2004 route des Lucioles 06902 Sophia Antipolis</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-1037" type="direct"/>
            <relation active="#struct-1847" type="indirect"/>
            <relation active="#struct-93591" type="indirect"/>
            <relation active="#struct-300045" type="indirect"/>
            <relation name="UMS829" active="#struct-441569" type="indirect"/>
            <relation name="UMR7093" active="#struct-441569" type="indirect"/>
            <relation active="#struct-34586" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-92114" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-189522" status="VALID">
          <orgName>Department of Biology [McMaster]</orgName>
          <desc>
            <address>
              <addrLine>LSB-215 - 1280 Main St. West Hamilton ON L8S 4K1</addrLine>
              <country key="CA"/>
            </address>
            <ref type="url">http://www.biology.mcmaster.ca/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-64587" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-17323" status="OLD">
          <orgName>Unité Recherches Intégrées en Horticulture</orgName>
          <orgName type="acronym">URIH</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>400 Route des Chappes - BP 167 - 06 903 Sophia-Antipolis Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.antibes.inra.fr/unites/urih.htm</ref>
          </desc>
          <listRelation>
            <relation name="UR0880" active="#struct-92114" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-1037" status="OLD">
          <idno type="IdRef">153688688</idno>
          <idno type="ISNI">0000000403668890</idno>
          <idno type="RNSR">200112481S</idno>
          <idno type="ROR">https://ror.org/05r5y6641</idno>
          <orgName>Laboratoire d'océanographie de Villefranche</orgName>
          <orgName type="acronym">LOV</orgName>
          <date type="start">2001-01-01</date>
          <date type="end">2017-12-31</date>
          <desc>
            <address>
              <addrLine>Observatoire Océanologique Station zoologique 181, chemin du lazaret BP 28 06230 VILLEFRANCHE SUR MER Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.obs-vlfr.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-1847" type="direct"/>
            <relation active="#struct-93591" type="direct"/>
            <relation active="#struct-300045" type="direct"/>
            <relation name="UMS829" active="#struct-441569" type="direct"/>
            <relation name="UMR7093" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="regrouplaboratory" xml:id="struct-1847" status="OLD">
          <idno type="IdRef">031348491</idno>
          <idno type="ISNI">0000000406386661</idno>
          <idno type="RNSR">200112481S</idno>
          <orgName>Observatoire océanologique de Villefranche-sur-mer</orgName>
          <orgName type="acronym">OOVM</orgName>
          <date type="start">1983-01-01</date>
          <date type="end">2017-12-31</date>
          <desc>
            <address>
              <addrLine>Observatoire Océanologique BP 28 06234 VILLEFRANCHE SUR MER CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.obs-vlfr.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-93591" type="direct"/>
            <relation active="#struct-300045" type="direct"/>
            <relation name="UMS829" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-93591" status="OLD">
          <idno type="ROR">https://ror.org/02en5vm52</idno>
          <orgName>Université Pierre et Marie Curie - Paris 6</orgName>
          <orgName type="acronym">UPMC</orgName>
          <date type="end">2017-12-31</date>
          <desc>
            <address>
              <addrLine>4 place Jussieu - 75005 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.upmc.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300045" status="VALID">
          <idno type="IdRef">029349265</idno>
          <idno type="ISNI">0000 0001 2154 1736</idno>
          <idno type="ROR">https://ror.org/04kdfz702</idno>
          <idno type="Wikidata">Q3152437</idno>
          <orgName>Institut national des sciences de l'Univers</orgName>
          <orgName type="acronym">INSU - CNRS</orgName>
          <date type="start">2007-04-19</date>
          <desc>
            <address>
              <addrLine>INSU-CNRS3 rue Michel-Ange, 75794 Paris Cedex 16</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.insu.cnrs.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="laboratory" xml:id="struct-34586" status="VALID">
          <idno type="RNSR">198318250R</idno>
          <idno type="ROR">https://ror.org/01nzkaw91</idno>
          <orgName>Centre Inria d'Université Côte d'Azur</orgName>
          <desc>
            <address>
              <addrLine>2004 route des Lucioles BP 93 06902 Sophia Antipolis</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/sophia/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</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-64587" status="VALID">
          <idno type="ROR">https://ror.org/02fa3aq29</idno>
          <orgName>McMaster University [Hamilton, Ontario]</orgName>
          <desc>
            <address>
              <addrLine>1280 Main Street WestHamilton, Ontario  L8S 4L8</addrLine>
              <country key="CA"/>
            </address>
            <ref type="url">http://www.mcmaster.ca/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>