Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays

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成果类型：

期刊论文

作者：

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

通讯作者：

Xu, Changjin

作者机构：

[Xu, Changjin; Liao, Maoxin; He, Xiaofei] Guizhou Coll Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China.

[Xu, Changjin; Liao, Maoxin; He, Xiaofei] Hunan Inst Engn, Fac Sci, Xiangtan 411004, Peoples R China.

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

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

[Xu, Changjin] Guizhou Coll Finance & Econ, Sch Math & Stat, Luchongguan Rd 269, Guiyang 550004, Peoples R China.

通讯机构：

[Xu, Changjin] G

Guizhou Coll Finance & Econ, Sch Math & Stat, Luchongguan Rd 269, Guiyang 550004, Peoples R China.

语种：

英文

关键词：

Delay;Hopf bifurcation;Predator-prey model;Stability

期刊：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE

ISSN：

1641-876X

年：

2011

卷：

期：

页码：

97-107

DOI：

10.2478/v10006-011-0007-0

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 two-species Lotka-Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulatio...

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Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays

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