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

被引：47

作者：

Sun, Xiao-Ke ^{[1
,2
]}

Huo, Hai-Feng ^{[1
]}

Xiang, Hong ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R China

[2] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China

来源：

NONLINEAR DYNAMICS | 2009年 / 58卷 / 03期

关键词：

Hopf bifurcation; Stability; Time delay; Predator-prey system; DEANGELIS FUNCTIONAL-RESPONSE; DELAY; PERMANENCE; SYSTEM;

D O I：

10.1007/s11071-009-9495-y

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

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

页码：497 / 513

页数：17

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