Convergence to equilibrium in competitive Lotka–Volterra and chemostat systems
KAUST Grant NumberKUK-l1-007-43
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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  and Champagnat and Jabin (2010)  to prove the convergence to a unique stable equilibrium. © 2010 Académie des sciences.
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.
SponsorsThe 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).
JournalComptes Rendus Mathematique