Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure

被引：63
|
作者：
Qu, Ying [1 ]
Wei, Junjie [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
NONLINEAR DYNAMICS | 2007年 / 49卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
prey-predator; time-delay; Hopf bifurcation; periodic solution;
D O I：
10.1007/s11071-006-9133-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A time-delay model for prey-predator growth with stage-structure is considered. At first, we investigate the stability and Hopf bifurcations by analyzing the distribution of the roots of associated characteristic equation. Then, an explicit formula for determining the stability and the direction of periodic solutions bifurcating from Hopf bifurcations is derived, using the normal form theory and center manifold argument. Finally, some numerical simulations are carried out for supporting the analytic results.
引用
收藏
页码：285 / 294
页数：10
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