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...

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Bibliographic Details
Published in:Journal of Differential Equations 2017-02, Vol.262 (3), p.1192-1225
Main Authors: Nguyen, Dang H., Yin, George
Format: Article
Language:English
Subjects:
Coexistence
Competition
Ergodicity
Exclusion
Lotka–Volterra
Stationary distribution
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Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2016.10.005