Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems [Convergence vers l'équilibre pour des systèmes compétitifs de Lotka-Volterra et du Chémostat]

摘要

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.