The Asymptotic Behavior of a Stochastic Predator-Prey System with Holling II Functional Response

被引：9
|
作者：
Liu, Zhenwen [1 ,2 ]
Shi, Ningzhong [1 ]
Jiang, Daqing [1 ]
Ji, Chunyan [1 ,3 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Changchun Univ Sci & Technol, Sch Sci, Changchun 130022, Jilin, Peoples R China
[3] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
中国国家自然科学基金;
关键词：
MODIFIED LESLIE-GOWER; IMPULSIVE PERTURBATIONS; MODEL; SCHEMES; TIME;
D O I：
10.1155/2012/801812
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss a stochastic predator-prey system with Holling II functional response. First, we show that this system has a unique positive solution as this is essential in any population dynamics model. Then, we deduce the conditions that there is a stationary distribution of the system, which implies that the system is permanent. At last, we give the conditions for the system that is going to be extinct.
引用
收藏
页数：14
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