Existence, Stationary Distribution, and Extinction of Predator-Prey System of Prey Dispersal with Stochastic Perturbation

被引：1
作者：
Zu, Li [1 ,2 ]
Jiang, Daqing [1 ]
Jiang, Fuquan [3 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Changchun Univ, Sch Sci, Changchun 130022, Peoples R China
[3] Harbin Finance Univ, Dept Fdn, Harbin 150030, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
MODIFIED LESLIE-GOWER; PATCHY ENVIRONMENT; GLOBAL STABILITY; II SCHEMES; DELAY; MODEL; PERMANENCE; DYNAMICS; EQUATIONS; BEHAVIOR;
D O I：
10.1155/2012/547152
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a predator-prey model in which the preys disperse among n patches (n >= 2) with stochastic perturbation. We show that there is a unique positive solution and find out the sufficient conditions for the extinction to the system with any given positive initial value. In addition, we investigate that there exists a stationary distribution for the system and it has ergodic property. Finally, we illustrate the dynamic behavior of the system with n = 2 via numerical simulation.
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页数：24
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