具有体液免疫反应的传染病模型稳定性分析

Stability Analysis of an Infection Model with Humoral Immunity

建立考虑潜伏感染细胞并具有体液免疫反应的传染病模型,讨论其解的非负性和有界性,得到确定模型动力学性态的基本再生数,再通过构造适当的Lyapunov泛函,并利用LaSalle不变原理证明模型无病平衡点的全局渐近稳定性.

In this paper ,we built a virus dynamics model with humoral immune response in clu -ding latently infected cells ,and then discussed the nonnegativity and boundedness of the solu-tion . The basic reproduction number was obtained, which determined the dynamical behaviors of the infection model. By constructing suitable Lyapunov functions and applying LaSalle＇s in -variance principle we proved that the infection - free equilibrium was globally asymptotically sta-ble .