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

被引：241

作者：

Nindjin, A. F.

Aziz-Alaoui, M. A.

Cadivel, M.

机构：

[1] Univ Havre, Lab Math Appl, F-76058 Le Havre, France

[2] Univ Cocody, Lab Math Appl, Abidjan 22, Cote Ivoire

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2006年 / 7卷 / 05期

关键词：

time delay; boundedness; permanent; local stability; global stability; Liapunov functional;

D O I：

10.1016/j.nonrwa.2005.10.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two-dimensional delayed continuous time dynamical system modeling a predator-prey food chain, and based on a modified version of Holling type-II scheme is investigated. By constructing a Liapunov function, we obtain a sufficient condition for global stability of the positive equilibrium. We also present some related qualitative results for this system. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1104 / 1118

页数：15

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