Skip to Main content Skip to Navigation
Reports

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.
Document type :
Reports
Complete list of metadata

Cited literature [1 references]  Display  Hide  Download

https://hal.inria.fr/inria-00072684
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:34:35 AM
Last modification on : Wednesday, February 10, 2021 - 5:14:02 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:18:26 PM

Identifiers

  • HAL Id : inria-00072684, version 1

Citation

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⟩

Share

Metrics

Record views

338

Files downloads

335