Dynamic behaviors of a delayed HIV model with stage-structure

作者：Hao Pengmiao; Fan Dejun^*; Wei Junjie; Liu Qinghe

来源：Communications in Nonlinear Science & Numerical Simulation, 2012, 17(12): 4753-4766.

DOI：10.1016/j.cnsns.2012.04.004

• Hopf bifurcation
• Time delay
• Stage-structure
• HIV model

Inspired by a simulation specific to a delayed HIV model with stage-structure, some dynamic behaviors are studied in this paper, including global stability of disease-free equilibrium and local Hopf bifurcation when taking the delay as a parameter. The corresponding characteristic equation is a transcendental equation, with the parameters delay-dependent, thus we use the conventional analysis introduced by Beretta and Kuang to obtain sufficient conditions to the existence of Hopf bifurcation. Then some properties of Hopf bifurcation such as direction, stability and period are determined, and several examples illustrate our results.

• 出版日期2012-12
• 单位哈尔滨工业大学