Coexistence and Exclusion of Stochastic Competitive Lotka-Volterra Models
arXiv:1601.06334 · doi:10.1016/j.jde.2016.10.005
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.
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)
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