Persistence and global stability in a predator-prey system with delay

被引：4

作者：

Gamez, Manuel

Martinez, Clotilde ^{[1
]}

机构：

[1] Univ Granada, Fac Econ & Business Sci, Dept Appl Math, E-18071 Granada, Spain

[2] Univ Almeria, Dept Stat & Appl Math, Almeria 04120, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2006年 / 16卷 / 10期

关键词：

delayed Lotka-Volterra systems; global asymptotic stability; bifurcation; persistence; extinction;

D O I：

10.1142/S0218127406016549

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, several sufficient conditions are established for the persistence and extinction in a Lotka-Volterra system with time delay. Based on the use of Lyapunov functionals techniques, necessary and sufficient conditions are also given for global asymptotic stability of the positive equilibrium for autonomous systems.

引用

页码：2915 / 2922

页数：8

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