A Discrete, Size-Structured Model of Phytoplankton Growth in The ChemostatReport as inadecuate




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1 COMORE - Modeling and control of renewable resources LOV - Laboratoire d-océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée 2 OOVM - Observatoire océanologique de Villefranche-sur-mer

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.

keyword : CHEMOSTAT STRUCTURED MODEL DISCRETE MODEL INHOMOGENEOUS DIVISION SIZE





Author: Julien Arino - Jean-Luc Gouzé - Antoine Sciandra -

Source: https://hal.archives-ouvertes.fr/



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