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A Discrete, Size-Structured Model of Phytoplankton Growth in The Chemostat

Julien Arino 1 Jean-Luc Gouzé 1 Antoine Sciandra 2
1 COMORE - Modeling and control of renewable resources
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We introduce inhomogeneous, substrate dependent cell division in a nonlinear matrix model of size-structured population growth in the chemostat, first introduced by Gage et al. [7] and later analyzed by Smith [11]. We show that mass conservation is verified, and conclude that our system admits one non zero globally stable equilibrium, which we express explicitly. We then proceed to several numerical simulations, and briefly compare the prediction of the model to data, whose obtention we discuss.
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Submitted on : Wednesday, May 24, 2006 - 10:34:35 AM
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  • HAL Id : inria-00072684, version 1

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Julien Arino, Jean-Luc Gouzé, Antoine Sciandra. A Discrete, Size-Structured Model of Phytoplankton Growth in The Chemostat. [Research Report] RR-3963, INRIA. 2000, pp.23. ⟨inria-00072684⟩

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