具有体液免疫反应的传染病模型稳定性分析

摘要

In this paper,we built a virus dynamics model with humoral immune response inclu-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.%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。