Global stability for age-infection-structured human immunodeficiency virus model with heterogeneous transmission  

作　　者：Juping Zhang Linlin Wang Zhen Jin 

机构地区：[1]Complex Systems Research Center,Shanxi University,Taiyuan,Shanxi,030006,China [2]Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention,Shanxi University,Taiyuan,Shanxi,030006,China

出　　处：《Infectious Disease Modelling》2024年第2期437-457,共21页传染病建模（英文）

基　　金：This work is partly supported by the National Sciences Foundation of China(Nos.11971278,61873154);The 1331 Engineering Project of Shanxi Province,China.Health Commission of Shanxi Province(2020XM18).

摘　　要：In this paper,we analyze the global asymptotic behaviors of a mathematical susceptible-infected(SI)age-infection-structured human immunodeficiency virus(HIV)model with heterogeneous transmission.Mathematical analysis shows that the local and global dynamics are completely determined by the basic reproductive number R_(0).If R_(0)<1,disease-free equilibrium is globally asymptotically stable.If R_(0)>1,it shows that disease-free equilibrium is unstable and the unique endemic equilibrium is globally asymptotically stable.The proofs of global stability utilize Lyapunov functions.Besides,the numerical simulations are illustrated to support these theoretical results and sensitivity analysis of each parameter for is R_(0)performed by the method of partial rank correlation coefficient(PRCC).

关 键 词：Age-infection-structured Basic reproductive number Global stability Lyapunov function Sensitivity analysis 

分 类 号：R512.91[医药卫生—内科学]