西安工程大学学报2011，Vol.25Issue(1)：104-112,9.
一类具有时滞的HIV感染模型的稳定性分析
Stability and Hopf bifurcation of an HIV model with time delay
车培红1
作者信息
- 1. 上海师范大学,数理学院,上海,200234
- 折叠
摘要
Abstract
The HIV infection in vivo model with time delay is studied, which incorporates the duration for the infected T* cells to release the virus as the delay parameter.The global stability of the boundary equilibria is obtained by using the Routh-Hurwitz criteria,constructing Lyapunov function and the nonnegative invariance analysis of the system.And the existence of the threshold τ0 is proved, the inner equilibria is local asymptotic stable as τ ＜ τ0; the inner equilibria is unstable as τ = τ0, it appears a Hopf bifurcation in the system as τ ＞ τ0.At last the numerical simulation is given with the Matlab software, and the rationality of the theoretical analysis is verified.关键词
时滞/HIV/稳定性分析/Hopf分支/数值模拟分类
数理科学引用本文复制引用
车培红..一类具有时滞的HIV感染模型的稳定性分析[J].西安工程大学学报,2011,25(1):104-112,9.
