Prey-predator systems with delay: Hopf bifurcation and stable oscillations

被引：1
|
作者：
Pecelli, G
机构：
[1] Department of Computer Science, University Massachusetts-Lowell, Lowell
来源：
MATHEMATICAL AND COMPUTER MODELLING | 1997年 / 25卷 / 10期
关键词：
prey-predator models; Hopf bifurcation; method of averaging; symbolic computation;
D O I：
10.1016/S0895-7177(97)00076-9
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper examines several prey-predator models with delay. It examines both existence of bounded and decaying solutions and the Hopf bifurcation of periodic orbits. Symbolic techniques are used for the computation of the stability constants via the method of averaging, with minimal resort to numerics. The characteristics of the bifurcating solutions are compared with periodic with solutions known to exist via other geometric means.
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页码：77 / 98
页数：22
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