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

Research output: Contribution to journalArticlepeer-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 contributionConvergence to equilibrium in competitive Lotka-Volterra and chemostat systems
Original languageFrench
Pages (from-to)1267-1272
Number of pages6
JournalComptes Rendus Mathematique
Volume348
Issue number23-24
DOIs
StatePublished - Dec 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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