MATHEMATICAL ANALYSIS FOR AN AGE-STRUCTURED HIV INFECTION MODEL WITH SATURATION INFECTION RATE

作者：Wang, Jinliang^*; Zhang, Ran; Kuniya, Toshikazu

来源：Electronic Journal of Differential Equations, 2015, 33.

• Age-infection model
• nonlinear incidence rate
• relative compactness
• uniform persistence
• Lyapunov function

In this article, we study a continuous age-structured HIV infection model. For the case of the saturation infection rate, the basic reproduction number no is shown to be a sharp threshold value for the global dynamics; that is, the infection-free equilibrium is globally stable if R-0 < 1, while a unique infection equilibrium is so if R-0 > 1. For the proof, we use Lyapunov functional techniques based on the relative compactness of the orbit and uniform persistence of the system.

• 出版日期2015-2-6
• 单位黑龙江大学