Analysis of a predator-prey model with modified Holling-Tanner functional response and time delay

被引：36

作者：

Lu, Zhiqi ^{[1
]}

Liu, Xia ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 02期

关键词：

Lyapunov functional; permanence; Hopf bifurcation; global stability; time delay;

D O I：

10.1016/j.nonrwa.2006.12.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In paper, a predator-prey model with modified Holling-Tanner functional response and time delay is discussed. It is proved that the system is permanent under some appropriate conditions. The local stability of the equilibria is investigated. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global stability of the positive equilibrium of the model. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：641 / 650

页数：10

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