|
|||||
|
|
Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control |
|
| Authors: | Shaoli Wang Shuli Wang Xinyu Song |
| Institution: | 1. College of Science, Xi??an Jiaotong University, Xi??an, 710049, Shaanxi, China 2. School of Computer and Information Technology, Xinyang Normal University, Xinyang, 464000, Henan, China 3. College of Mathematics and Information Science, Xinyang Normal University, Xinyang, 464000, Henan, China |
| Abstract: | 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 ?? as a bifurcation parameter, we show that Hopf bifurcation can occur as the delay ?? 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. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |