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      <ref-type name="Journal Article">17</ref-type>
      <work-type>ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES</work-type>
      <contributors>
        <authors>
          <author>
            <style face="bold" font="default" size="100%">Bacaër, Nicolas</style>
          </author>
          <author>
            <style face="normal" font="default" size="100%">Khaladi, M.</style>
          </author>
        </authors>
      </contributors>
      <titles>
        <title>On the basic reproduction number in a random environment</title>
        <secondary-title>Journal of Mathematical Biology</secondary-title>
      </titles>
      <pages>1729-1739</pages>
      <keywords>
        <keyword>Basic reproduction number</keyword>
        <keyword>Markov chain</keyword>
        <keyword>Population dynamics</keyword>
        <keyword>Random environment</keyword>
      </keywords>
      <dates>
        <year>2013</year>
      </dates>
      <call-num>fdi:010061308</call-num>
      <language>ENG</language>
      <periodical>
        <full-title>Journal of Mathematical Biology</full-title>
      </periodical>
      <isbn>0303-6812</isbn>
      <accession-num>ISI:000326898300014</accession-num>
      <number>6-7</number>
      <electronic-resource-num>10.1007/s00285-012-0611-0</electronic-resource-num>
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          <url>https://www.documentation.ird.fr/hor/fdi:010061308</url>
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          <url>https://www.documentation.ird.fr/intranet/publi/2013/12/010061308.pdf</url>
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      <volume>67</volume>
      <remote-database-provider>Horizon (IRD)</remote-database-provider>
      <abstract>The concept of basic reproduction number in population dynamics is studied in the case of random environments. For simplicity the dependence between successive environments is supposed to follow a Markov chain. is the spectral radius of a next-generation operator. Its position with respect to 1 always determines population growth or decay in simulations, unlike another parameter suggested in a recent article (Hernandez-Suarez et al., Theor Popul Biol, doi:10.1016/j.tpb.2012.05.004, 2012). The position of the latter with respect to 1 determines growth or decay of the population's expectation. is easily computed in the case of scalar population models without any structure. The main emphasis is on discrete-time models but continuous-time models are also considered.</abstract>
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      <custom1>UR209</custom1>
      <custom7>Maroc</custom7>
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