The long time behavior of a predator-prey model with disease in the prey by stochastic perturbation

被引：24

作者：

Zhang, Qiumei ^{[1
,2
]}

Jiang, Daqing ^{[1
]}

Liu, Zhenwen ^{[3
]}

O'Regan, Donal ^{[4
,5
]}

机构：

[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[2] Changchun Univ, Sch Sci, Changchun 130022, Peoples R China

[3] Changchun Univ Technol, Sch Coll Basic Sci, Changchun 130021, Peoples R China

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[5] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Jeddah 21413, Saudi Arabia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 245卷

关键词：

Asymptotically stable; Stationary distribution; Ergodicity; INFECTION; SYSTEM; SIR;

D O I：

10.1016/j.amc.2014.07.088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we formulate a predator-prey model with disease in the prey by stochastic perturbation. Using Lyapunov analysis methods we discuss the asymptotic behavior of this solution. Furthermore, we investigate whether that there exists a stationary distribution for this system and if it has the ergodic property. Finally we make simulations to illustrate our analytical results. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：305 / 320

页数：16

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