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

被引：23
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
收藏
页码：305 / 320
页数：16
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