Stable periodic orbits for a predator-prey model with delay

被引：18

作者：

Cavani, M ^{[1
]}

Lizana, M

Smith, HL

机构：

[1] Univ Oriente, Dept Math Nucleo Sucre, Cumana, Venezuela

[2] Univ Los Andes, Fac Sci, Dept Math, Merida 5101, Venezuela

[3] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 249卷 / 02期

关键词：

predator-prey model; stable periodic orbit; delay; uniform persistence;

D O I：

10.1006/jmaa.2000.6802

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a predator-prey model with time lag which improves upon that proposed by Cavani and Farkas [1994, Acta Math. Hungar. 63(3), 213-229]. We show that when the model has exactly one non-trivial unstable and hyperbolic equilibrium there exists a stable periodic orbit, (C) 2000 Academic Press.

引用

页码：324 / 339

页数：16

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