Hopf bifurcation analysis for a model of genetic regulatory system with delay

被引：40
|
作者：
Wan, Aying [2 ,3 ]
Zou, Xingfu [1 ]
机构：
[1] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[3] Hulunbeir Coll, Dept Math, Hailar 021008, Inner Mongolia, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 356卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Genetic regulatory system; Delay; Hopf bifurcation; Periodic solution;
D O I：
10.1016/j.jmaa.2009.03.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a mathematical model that describe a genetic regulatory system. The model has a delay which affects the dynamics of the system. We investigate the stability switches when the delay varies, and show that Hopf bifurcations may occur within certain range of the model parameters. By combining the normal form method with the center manifold theorem, we are able to determine the direction of the bifurcation and the stability of the bifurcated periodic solutions. Finally, some numerical simulations are carried out to support the analytic results. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：464 / 476
页数：13
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