Dynamic analysis of a nonautonomous impulsive single-species system in a random environment

Advances in Difference Equations

Zhijun Liu¹  Hailing Wang¹  Ronghua Tan²  Huili Xiang² 

[1] Department of Mathematics, Hubei University for Nationalities, Enshi, P.R. China;Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, P.R. China

关键词: single-species model;    impulsive stochastic differential equation;    extinction;    stochastic permanence;    global attractivity;   

DOI  :  10.1186/s13662-015-0553-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with a nonautonomous single-species model, in which the population dynamics is affected by impulsive perturbations and environmental noise. Sufficient conditions for the extinction, stochastic permanence, and global attractivity of system are obtained, respectively. The above results reveal that the white noise plays a very important role in the dynamic behaviors. However, it is found that the bounded impulse does not affect the above properties. Some numerical simulation results are presented to support the analytical findings.

【 授权许可】

CC BY