Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems

@inproceedings{Champagnat2010ConvergenceTE,
  title={Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems},
  author={Nicolas Champagnat and Pierre-Emmanuel Jabin and Ga{\"e}l Raoul},
  year={2010}
}
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. 

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From adaptive dynamics to adaptive walks.

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