Asymptotic behavior of a stochastic non-autonomous predator-prey model with impulsive perturbations

被引：42
|
作者：
Wu, Ruihua [1 ,2 ]
Zou, Xiaoling [1 ]
Wang, Ke [1 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[2] China Univ Petr East China, Coll Sci, Qingdao 266555, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 20卷 / 03期
关键词：
Predator-prey model; Impulsive effects; Persistence and extinction; Stochastically ultimate boundedness; DIFFERENTIAL-EQUATIONS; LOGISTIC MODEL; COMPETITIVE SYSTEM; STABILITY; SIMULATIONS; EXTINCTION; PERSISTENCE; ENVIRONMENT; PERMANENCE; DYNAMICS;
D O I：
10.1016/j.cnsns.2014.06.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a stochastic non-autonomous Lotka-Volterra predator-prey model with impulsive effects. The asymptotic properties are examined. Sufficient conditions for persistence and extinction are obtained, our results demonstrate that the impulse has important effects on the persistence and extinction of the species. We also show that the solution is stochastically ultimate bounded under some conditions. Finally, several simulation figures are introduced to confirm our main results. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：965 / 974
页数：10
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