中山大学学报（自然科学版）2018，Vol.57Issue(3)：64-69,6.DOI:10.13471/j.cnki.acta.snus.2018.03.009
具饱和发生率的被修正HIV传染病模型的全局稳定性
Global stability of a modified HIV infection model with saturation incidence
摘要
Abstract
A modified HIV infection model with saturation incidence is studied.By analyzing the corre-sponding characteristic equations,the local stability of an infection-free equilibrium E0(T0,0,0)and a positive equilibrium E*(T*,I*,V*)is discussed.By using suitable Lyapunov functions and the LaSalle invariant principle,it is proved that if the basic reproductive number R0<1,the infection-free equilibri-um E0(T0,0,0)is globally asymptotically stable.If the basic reproductive number R0>1,by means of the second additive compound matrix,the globally asymptotical stability of the positive equilibrium E*(T*,I*,V*)is obtained.Numerical simulations are carried out to illustrate the main theoretical re-sults.关键词
HIV传染病/饱和发生率/Lyapunov函数/LaSalle不变集原理/第二加性复合矩阵Key words
HIV infection/saturation incidence/Lyapunov function/LaSalle invariant principle/the second additive compound matrix分类
数理科学引用本文复制引用
杨俊仙,王雷宏..具饱和发生率的被修正HIV传染病模型的全局稳定性[J].中山大学学报（自然科学版）,2018,57(3):64-69,6.基金项目
国家自然科学基金(11201002) （11201002）
安徽省高校自然科学重点项目(KJ2017A815) （KJ2017A815）
