Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control

被引：0
作者：
Shaoli Wang
Shuli Wang
Xinyu Song
机构：
[1] Xi’an Jiaotong University,College of Science
[2] Xinyang Normal University,School of Computer and Information Technology
[3] Xinyang Normal University,College of Mathematics and Information Science
来源：
Nonlinear Dynamics | 2012年 / 67卷
关键词：
Oncolytic virus dynamics; Time delay; Hopf bifurcation; Periodic solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A delayed oncolytic virus dynamics with continuous control is investigated. The local stability of the infected equilibrium is discussed by analyzing the associated characteristic transcendental equation. By choosing the delay τ as a bifurcation parameter, we show that Hopf bifurcation can occur as the delay τ crosses some critical values. Using the normal form theory and the center manifold reduction, explicit formulae are derived to determine the direction of bifurcations and the stability and other properties of bifurcating periodic solutions. Numerical simulations are carried out to support the theoretical results.
引用
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页码：629 / 640
页数：11
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