Complexities of a Stage-Structured Predator-Prey System with Time Delay

被引：0
|
作者：
Wang, Lingshu [1 ]
Feng, Guanghui [1 ]
机构：
[1] Hebei Univ Econ & Business, Sch Math & Stat, Shijiazhuang, Peoples R China
来源：
PROCEEDINGS OF 2009 CONFERENCE ON SYSTEMS SCIENCE, MANAGEMENT SCIENCE & SYSTEM DYNAMICS, VOL 7 | 2009年
关键词：
Predator-prey system; stage-structure; stability; Hopf bifurcation;
D O I：
暂无
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
A system of delayed functional differential equation is proposed as a predator-prey model with stage-structure in the prey and Holling type-III functional response. We first consider the local stability of a positive equilibrium and the existence of Hopf bifurcations. By using the normal form theory and center manifold theorem, we derive explicit formulae which determine the stability, direction and other properties of bifurcating periodic solutions. Numerical simulations are carried out to illustrate the theoretical results.
引用
收藏
页码：25 / 29
页数：5
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