Bifurcation analysis in a delayed Lokta-Volterra predator-prey model with two delays

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成果类型：

期刊论文

作者：

Xu, Changjin*;Tang, Xianhua;Liao, Maoxin;He, Xiaofei

通讯作者：

Xu, Changjin

作者机构：

[Xu, Changjin] Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.

[Xu, Changjin] Hunan Inst Engn, Fac Sci, Xiangtan 411004, Peoples R China.

[Tang, Xianhua] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China.

[Liao, Maoxin] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Peoples R China.

[He, Xiaofei] Jishou Univ, Zhangjiajie Coll, Zhangjiajie 427000, Peoples R China.

通讯机构：

[Xu, Changjin] G

Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.

语种：

英文

关键词：

Delay;Hopf bifurcation;Predator-prey model;Stability

期刊：

Nonlinear Dynamics

ISSN：

0924-090X

年：

2011

卷：

期：

1-2

页码：

169-183

DOI：

10.1007/s11071-010-9919-8

基金类别：

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [10771215, 10771094]

机构署名：

本校为其他机构

院系归属：

数理学院

摘要：

In this paper, a class of delayed Lokta-Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations for supporting the theoretical res...

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Bifurcation analysis in a delayed Lokta-Volterra predator-prey model with two delays

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