Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation

被引：267
|
作者：
Ji, Chunyan [1 ,2 ]
Jiang, Daqing [1 ]
Shi, Ningzhong [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 359卷 / 02期
基金：
芬兰科学院;
关键词：
Ito's formula; Persistent in mean; Globally stable in time average; Extinction; LOTKA-VOLTERRA MODEL; IMPULSIVE PERTURBATIONS; FUNCTIONAL-RESPONSE; COMPLEX DYNAMICS; SYSTEMS; STABILITY; BEHAVIOR;
D O I：
10.1016/j.jmaa.2009.05.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation. We show there is a unique positive solution to the system with positive initial value, and mainly investigate the long time behavior of the system. Condition for the system to be extinct is given and persistent condition is established. At last, numerical simulations are carried out to support our results. (C) 2009 Elsevier Inc. All rights reserved.
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页码：482 / 498
页数：17
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