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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:359

Article

Ji, Chunyan^1,2  Jiang, Daqing¹  Shi, Ningzhong¹ 

[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

关键词: Ito's formula;    Persistent in mean;    Globally stable in time average;    Extinction;   

DOI  :  10.1016/j.jmaa.2009.05.039

来源: Elsevier

【 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.

【 授权许可】

Free