Stability analysis of diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes

被引：30

作者：

Tian, Yanling ^{[1
]}

Weng, Peixuan ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期

基金：

高等学校博士学科点专项科研基金;

关键词：

Diffusive predator-prey model; Modified Leslie-Gower and Holling-type II schemes; Comparison method; Persistence; Stability; PARABOLIC-SYSTEMS; GLOBAL STABILITY; DYNAMICS;

D O I：

10.1016/j.amc.2011.09.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The stability of a diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes is investigated. A threshold property of the local stability is obtained for a boundary steady state, and sufficient conditions of local stability and un-stability for the positive steady state are also obtained. Furthermore, the global asymptotic stability of these two steady states are discussed. Our results reveal the dynamics of this model system. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：3733 / 3745

页数：13

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