多组目标细胞被感染的HIV模型的动力学分析  

Dynamical analysis of an HIV model with multitarget cells infected

作　　者：吕翠芳 Li Cuifang(School of Mathematics Science,Changsha Normal University,Changsha 410100,China)

机构地区：[1]长沙师范学院数学科学学院,湖南长沙410100

出　　处：《高师理科学刊》2024年第12期1-5,共5页Journal of Science of Teachers'College and University

基　　金：长沙师范学院校级教改项目(JG2023018)。

摘　　要：考虑到处于潜伏阶段的部分感染细胞会重新变成未感染的目标细胞,研究了双线性发生率下多组目标细胞被感染的HIV动力学模型.通过构造Lyapunov函数,利用Lasalle不变原理,得到了无感染平衡点和感染平衡点全局渐近稳定的充分条件.Considering that some infected cells in the latent phase can revert to uninfected target cells,an HIV dynamical model with multitarget cells being infected under bilinear incidence rates is investigated.By constructing suitable Lyapunov functions and applying Lasalle invariance principle,some sufficient conditions to ensure the global asymptotic stability of the infection-free equilibrium point and the infection equilibrium point are obtained.

关 键 词：基本再生数 潜伏期 LYAPUNOV函数 全局渐近稳定 HIV动力学模型 

分 类 号：O175.14[理学—数学]