Convergence to equilibrium in competitive Lotka–Volterra and chemostat systems

Nicolas Champagnat, Pierre-Emmanuel Jabin, Gaël Raoul

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


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. © 2010 Académie des sciences.
Original languageEnglish (US)
Pages (from-to)1267-1272
Number of pages6
JournalComptes Rendus Mathematique
Issue number23-24
StatePublished - Dec 2010
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-l1-007-43
Acknowledgements: The first author is grateful to Michel Benaim for useful discussions on the dynamical systems context of the problem. G.R. has been supported by Award No. KUK-l1-007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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