Bifurcation and stability analysis in predator–prey model with a stage-structure for predator

被引：5
|
作者：
Xiao-Ke Sun
Hai-Feng Huo
Hong Xiang
机构：
[1] Lanzhou University of Technology,Institute of Applied Mathematics
[2] Tianshui Normal University,School of Mathematics and Statistics
来源：
Nonlinear Dynamics | 2009年 / 58卷
关键词：
Hopf bifurcation; Stability; Time delay; Predator–prey system;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A predator–prey system with Holling type II functional response and stage-structure for predator is presented. The stability and Hopf bifurcation of this model are studied by analyzing the associated characteristic transcendental equation. Further, an explicit formula for determining the stability and the direction of periodic solutions bifurcating from positive equilibrium is derived by the normal form theory and center manifold argument. Some numerical simulations are also given to illustrate our results.
引用
收藏
页码：497 / 513
页数：16
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