Convergence to equilibrium in competitive Lotka-Volterra and chemostat systemsReport as inadecuate




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* Corresponding author 1 TOSCA INRIA Lorraine, CRISAM - Inria Sophia Antipolis - Méditerranée , UHP - Université Henri Poincaré - Nancy 1, Université Nancy 2, INPL - Institut National Polytechnique de Lorraine, CNRS - Centre National de la Recherche Scientifique : UMR7502 2 JAD - Laboratoire Jean Alexandre Dieudonné 3 DAMTP-CMS - Department of Applied Mathematics and Theoretical Physics - Centre for Mathematical Sciences

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 two previous articles to prove the convergence to a unique stable equilibrium.





Author: Nicolas Champagnat - Pierre-Emmanuel Jabin - Gael Raoul -

Source: https://hal.archives-ouvertes.fr/



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