Hopf bifurcation analysis for a model of RNA silencing with two delays

摘要：

　　In this paper,a four-dimension genetic regulatory network model with two time delays is considered.Firstly,the existence of Hopf bifurcation is considered.Then,by using the normal form method and center manifold theory,the explicit formulas are derived to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions.Finally,one numerical example is exploited to support the theoretical analysis of the research.

关键词： RNA silencing delay differential equations stability Hopf bifurcation

作者: Tingting Yu Xian Zhang Guodong Zhang Min Su

作者单位: School of Mathematical Science,Heilongjiang University,Harbin 150080,China

会议类型: 国际会议

会议名称: 第26届中国控制与决策会议(2014 CCDC)

会议地点: 长沙

会议语种:英文

页码: 3167-3172

在线出版日期: 2014-05-31（万方平台首次上网日期，不代表论文的发表时间）