Convergence to equilibrium in competitive Lotka-Volterra equations
Classical Analysis and ODEs
2010-06-29 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1006.5415,
title = {Convergence to equilibrium in competitive Lotka-Volterra equations},
author = {Nicolas Champagnat and Pierre-Emmanuel Jabin and Gael Raoul},
journal= {arXiv preprint arXiv:1006.5415},
year = {2010}
}