Convergence to equilibrium in competitive Lotka–Volterra and chemostat systems

Handle URI:
http://hdl.handle.net/10754/597876
Title:
Convergence to equilibrium in competitive Lotka–Volterra and chemostat systems
Authors:
Champagnat, Nicolas; Jabin, Pierre-Emmanuel; Raoul, Gaël
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. © 2010 Académie des sciences.
Citation:
Champagnat N, Jabin P-E, Raoul G (2010) Convergence to equilibrium in competitive Lotka–Volterra and chemostat systems. Comptes Rendus Mathematique 348: 1267–1272. Available: http://dx.doi.org/10.1016/j.crma.2010.11.001.
Publisher:
Elsevier BV
Journal:
Comptes Rendus Mathematique
KAUST Grant Number:
KUK-l1-007-43
Issue Date:
Dec-2010
DOI:
10.1016/j.crma.2010.11.001
Type:
Article
ISSN:
1631-073X
Sponsors:
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).
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorChampagnat, Nicolasen
dc.contributor.authorJabin, Pierre-Emmanuelen
dc.contributor.authorRaoul, Gaëlen
dc.date.accessioned2016-02-25T12:58:12Zen
dc.date.available2016-02-25T12:58:12Zen
dc.date.issued2010-12en
dc.identifier.citationChampagnat N, Jabin P-E, Raoul G (2010) Convergence to equilibrium in competitive Lotka–Volterra and chemostat systems. Comptes Rendus Mathematique 348: 1267–1272. Available: http://dx.doi.org/10.1016/j.crma.2010.11.001.en
dc.identifier.issn1631-073Xen
dc.identifier.doi10.1016/j.crma.2010.11.001en
dc.identifier.urihttp://hdl.handle.net/10754/597876en
dc.description.abstractWe 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.en
dc.description.sponsorshipThe 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).en
dc.publisherElsevier BVen
dc.titleConvergence to equilibrium in competitive Lotka–Volterra and chemostat systemsen
dc.typeArticleen
dc.identifier.journalComptes Rendus Mathematiqueen
dc.contributor.institutionINRIA Sophia Antipolis, Sophia Antipolis, Franceen
dc.contributor.institutionUniversite Nice Sophia Antipolis, Nice, Franceen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
kaust.grant.numberKUK-l1-007-43en
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