Qualitative analysis for A Lotka-Volterra model with time delays

被引：0

作者：

Xu, Changjin ^{[1
]}

Zhang, Qiming ^{[2
]}

机构：

[1] Guizhou University of Finance and Economics, Guizhou Key Laboratory of Economics System Simulation, Longchongguan Street 276, Guiyang, China

[2] Hunan University of Technology, College of Science Beijing, Street 42, Zhuzhou, China

来源：

WSEAS Transactions on Mathematics | 2014年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Timing circuits - Hopf bifurcation - Predator prey systems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper considers a Lotka-Volterra model with time delays and delay dependent parameters. The linear stability conditions are obtained with characteristic root method. The Hopf bifurcation is demonstrated. Using normal form theory and center manifold theory, Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions are derived. Finally, numerical simulations are carried out to support the theoretical predictions.

引用

页码：603 / 6014