Asymptotic properties of a stochastic nonautonomous competitive system with impulsive perturbations

• Main Authors: Liu Yang, Baodan Tian
• Format: Article
• Language: English
• Published: SpringerOpen 2017-07-01
• Series: Advances in Difference Equations
• Subjects: competitive system; impulsive perturbations; stochastic perturbations; extinction; stochastic permanence
• Online Access: http://link.springer.com/article/10.1186/s13662-017-1256-5

Abstract In this paper, a generalized nonautonomous stochastic competitive system with impulsive perturbations is studied. By the theories of impulsive differential equations and stochastic differential equations, we have established some asymptotic properties of the system, such as the extinction, nonpersistence and persistence in the mean, weak persistence and stochastic permanence and so on. In order to show the correctness and feasibility of the theoretical results, several numerical examples are presented. Finally, the effects of different white noise perturbations and different impulsive perturbations are discussed and illustrated.