Analysis of a mathematical predator-prey model with delay

被引：0
|
作者：
Yu. F. Dolgii
S. N. Nidchenko
机构：
[1] Russian Academy of Sciences,Institute for Mathematics and Mechanics, Ural Branch
[2] Ural State Law Academy,undefined
来源：
Differential Equations | 2008年 / 44卷
关键词：
Periodic Solution; Asymptotic Expansion; Unit Circle; Characteristic Equation; Fundamental Matrix;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the behavior of dynamic processes in a mathematical predator-prey model and show that the dynamical system may have a periodic solution whose period coincides with the delay. By the bifurcation method for stability analysis of periodic solutions, we establish that this periodic solution is unstable.
引用
收藏
页码：861 / 865
页数：4
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