Dynamics of a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations

被引：24

作者：

Zhang, Shuwen ^{[1
]}

Tan, Dejun ^{[2
]}

机构：

[1] Jimei Univ, Coll Sci, Xiamen 361021, Fujian, Peoples R China

[2] Jimei Univ, Coll Teacher Educ, Xiamen 361021, Fujian, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 20期

关键词：

Impulsive effect; Extinction; Predator-prey system; Stochastic perturbation; Weak persistence in the mean; GLOBAL EXPONENTIAL STABILITY; PERMANENCE; EXTINCTION; MODEL;

D O I：

10.1016/j.apm.2014.12.020

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, we consider a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations. By constructing a suitable Lyapunov function and using comparison theorem with an impulsive differential equation and stochastic differential equation, we obtain a set of sufficient conditions for extinction, with weak persistence in the mean and global attraction to any positive solution of the system. We also estimate the conditions for the upper boundedness of the expectations of this system solution. Finally, the results are verified based on computer simulations. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：6319 / 6331

页数：13

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