Global dynamics of a periodic viral infection model incorporating diffusion and antiretroviral therapy  

作　　者：Jinhu Xu 

机构地区：[1]School of Sciences,Xi'an University of Technology Xi'an 710049,Shaanxi,P.R.China

出　　处：《International Journal of Biomathematics》2024年第6期211-242,共32页生物数学学报(英文版)

基　　金：This work was supported by the National Natural Science Foundation of China(#11701445);the Natural Science Basic Research Program in Shaanxi Province of China(2022JM-042,2022JM-038,2022JQ-033,2020JQ-831,2022JQ-043).

摘　　要：A new viral infection model with cell-to-cell infection and periodic antiretroviral therapy was proposed and analyzed.With the help of defined basic reproduction number Ro,we proved that if R_(0)<1,then the infection-free steady state is globally attractive.If R_(0)>1,then the infection is uniformly persistent.Furthermore,the globally asymptotical stability of infection-free steady state has been established for the critical case of R_(0)=1.Also,the global asymptotic stability of the infection steady state for a special case of the model has been established by applying the method of Lyapunov.Numerical simulations show that increasing the drug efficacy for blocking virus-to-cell infection,cell-to-cell infection and producing non-infectious virus contributes to weakening the severity ofviral infection.

关 键 词：Periodic antiretroviral therapy cell-to-cell infection persistence theory global asymptotic stability LYAPUNOV global stability 

分 类 号：O17[理学—数学]