一类具有时滞的HIV模型的稳定性

The stability of a HIV dynamics model with delay

建立了具有HollingⅡ感染率的时滞HIV动力学模型,讨论了系统解的非负性和有界性,最后通过构造适当的Lyapunov函数,应用La Salle不变原理,证明了无病平衡点是全局渐近稳定的.

In this paper, a delay HIV dynamics model with Holling Ⅱ infection rate is built and the nonnegativity and boundedness of the solution is discussed. At last, it has been proven that the infection-free equilibrium is globally asymp.totically stable by constructing suitable Lyapunov functions and applying LaSalle＇ s invariance principle.