Coexistence and Exclusion of Stochastic Competitive Lotka-Volterra Models
- Resource Type
- Working Paper
- Authors
- Nguyen, Dang Hai; Yin, George
- Source
- Subject
- Mathematics - Probability
Mathematics - Dynamical Systems
34C12, 60H10, 92D25
- Language
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.
Comment: 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)