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.
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页码：324 / 339
页数：16
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