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 ...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).展开更多
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).
文摘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).
