inria-00072684, version 1
A Discrete, Size-Structured Model of Phytoplankton Growth in The Chemostat
Julien Arino 1Jean-Luc Gouzé
1Antoine Sciandra 2
N° RR-3963 (2000)
Résumé : 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.
- 1 : COMORE (INRIA Sophia Antipolis)
- INRIA – CNRS : UMR7093
- 2 : Observatoire océanologique de Villefranche-sur-mer (OOVM)
- CNRS : UMS829 – INSU – Université Pierre et Marie Curie [UPMC] - Paris VI
- Domaine : Informatique/Autre
- Mots-clés : CHEMOSTAT – STRUCTURED MODEL – DISCRETE MODEL – INHOMOGENEOUS DIVISION SIZE
- Référence interne : RR-3963
- inria-00072684, version 1
- http://hal.inria.fr/inria-00072684
- oai:hal.inria.fr:inria-00072684
- Contributeur : Rapport De Recherche Inria
- Soumis le : Mercredi 24 Mai 2006, 10:34:35
- Dernière modification le : Mercredi 12 Novembre 2008, 15:10:23
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