Coexistence and Exclusion of Stochastic Competitive Lotka-Volterra Models
Probability
2016-11-24 v2 Dynamical Systems
Abstract
This work derives sufficient conditions for the coexistence and exclusion of a stochastic competitive Lotka-Volterra model. The conditions obtained are close to the necessary conditions. In addition, convergence in distribution of positive solutions of the model is also established. A number of numerical examples are given to illustrate our results.
Keywords
Cite
@article{arxiv.1601.06334,
title = {Coexistence and Exclusion of Stochastic Competitive Lotka-Volterra Models},
author = {Dang Hai Nguyen and George Yin},
journal= {arXiv preprint arXiv:1601.06334},
year = {2016}
}
Comments
There is a typo in the definition of the set D in the Proof of Proposition 3.2 in the version of this paper published in Journal of Differential Equations. This version corrects that typo (L-11 P13)