Asymptotic properties of a stochastic nonautonomous competitive system with impulsive perturbations

Advances in Difference Equations

Liu Yang¹  Baodan Tian² 

[1] School of Mathematics and Computational Science, Hunan University of Arts and Science, Changde, China;School of Science, Southwest University of Science and Technology, Mianyang, China

关键词: competitive system;    impulsive perturbations;    stochastic perturbations;    extinction;    stochastic permanence;   

DOI  :  10.1186/s13662-017-1256-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY