Convergence vers l'équilibre pour des systèmes compétitifs de Lotka-Volterra et du Chémostat

Nicolas Champagnat; Pierre Emmanuel Jabin; Gaël Raoul

doi:10.1016/j.crma.2010.11.001

Convergence vers l'équilibre pour des systèmes compétitifs de Lotka-Volterra et du Chémostat

Translated title of the contribution: Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems

Nicolas Champagnat, Pierre Emmanuel Jabin, Gaël Raoul

Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We study a generalized system of ODE's modeling a finite number of biological populations in a competitive interaction. We adapt the techniques in Jabin and Raoul [8] and Champagnat and Jabin (2010) [2] to prove the convergence to a unique stable equilibrium.

Translated title of the contribution	Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems
Original language	French
Pages (from-to)	1267-1272
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	348
Issue number	23-24
DOIs	https://doi.org/10.1016/j.crma.2010.11.001
State	Published - Dec 2010

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Convergence vers l'{\'e}quilibre pour des syst{\`e}mes comp{\'e}titifs de Lotka-Volterra et du Ch{\'e}mostat",

abstract = "We study a generalized system of ODE's modeling a finite number of biological populations in a competitive interaction. We adapt the techniques in Jabin and Raoul [8] and Champagnat and Jabin (2010) [2] to prove the convergence to a unique stable equilibrium.",

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