Coexistence and exclusion of stochastic competitive Lotka-Volterra models

This work derives sufficient conditions for the coexistence and exclusion of a stochastic competitive Lotka-Volterra model. The conditions obtained are close to necessary. 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. (C) 2016 Elsevier Inc. All rights reserved.