应用数学2017，Vol.30Issue(1)：203-208,6.
具有潜伏期和免疫应答的HIV感染模型的全局稳定性
Global Stability of an HIV Infection Model with Latent Stage and Immune Responses
摘要
Abstract
In this paper,an HIV infection model with latent stage and CTL immune response is considered,the basic reproduction number is obtained.The global stabilities of the healthy equilibrium and infection equilibrium of the model are studied by constructing the suitable Lyapunov functions.When the number is not greater than 1,the healthy equilibrium is globally stable on the feasible region,which implies that in-host HIV dies out eventually;when the number is greater than 1,the model has a unique infection equilibrium,which is globally stable in the feasible region,that is,HIV persists in the body of the infected individuals,and the concentration of in-host HIV tends to a positive number.关键词
潜伏阶段/基本再生数/Lyapunov函数/全局稳定性Key words
Latent stage/Basic reproduction number/Lyapunov function/Global stability分类
数理科学引用本文复制引用
李琳,李益群,李建全..具有潜伏期和免疫应答的HIV感染模型的全局稳定性[J].应用数学,2017,30(1):203-208,6.基金项目
国家自然科学基金(11371369) （11371369）
