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    <titleInfo>
      <title>Mathematical analysis of a size structured tree-grass competition model for savanna ecosystems</title>
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      <namePart type="family">Yata</namePart>
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    <name type="personnal">
      <namePart type="family">Dumont</namePart>
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    <name type="personnal">
      <namePart type="family">Tewa</namePart>
      <namePart type="given">J.J.</namePart>
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    <name type="personnal">
      <namePart type="family">Couteron</namePart>
      <namePart type="given">Pierre</namePart>
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      <namePart type="family">Bowong</namePart>
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    <abstract>Several continuous-time tree-grass competition models have been developed to study conditions of long-lasting coexistence of trees and grass in savanna ecosystems according to environmental parameters such as climate or fire regime. In those models, fire intensity is a fixed parameter while the relationship between woody plant size and fire-sensitivity is not systematically considered. In this paper, we propose a mathematical model for the tree-grass interaction that takes into account both fire intensity and size-dependent sensitivity. The fire intensity is modeled by an increasing function of grass biomass and fire return time is a function of climate. We carry out a qualitative analysis that highlights ecological thresholds that summarize the dynamics of the system. Finally, we develop a non-standard numerical scheme and present some simulations to illustrate our analytical results.</abstract>
    <targetAudience authority="marctarget">specialized</targetAudience>
    <subject authority="local">
      <topic>SAVANE BOISEE</topic>
      <topic>FEU DE BROUSSE</topic>
      <topic>FONCTIONNEMENT DE L'ECOSYSTEME</topic>
      <topic>DYNAMIQUE DE VEGETATION</topic>
      <topic>MODELISATION</topic>
      <topic>ANALYSE QUALITATIVE</topic>
    </subject>
    <subject authority="local">
      <geographic>ZONE TROPICALE</geographic>
      <geographic>AFRIQUE SUBSAHARIENNE</geographic>
    </subject>
    <classification authority="local">082VEGET01</classification>
    <classification authority="local">020MATH01</classification>
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      <titleInfo>
        <title>Biomath</title>
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      <part>
        <detail type="volume">
          <number>3</number>
        </detail>
        <extent unit="pages">
          <list>art. no 1404212 [18 ]</list>
        </extent>
      </part>
      <originInfo>
        <dateIssued>2014</dateIssued>
      </originInfo>
      <identifier type="issn">1314-684X</identifier>
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    <identifier type="uri">https://www.documentation.ird.fr/hor/fdi:010075322</identifier>
    <identifier type="doi">10.11145/j.biomath.2014.04.212</identifier>
    <identifier type="issn">1314-684X</identifier>
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