Mathematical Analysis on a General Delayed HBV Model with Capsids and Two Infection Routes  

作　　者：Li-li LIU Hong-gang WANG Ya-zhi LI 

机构地区：[1]Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention,Complex Systems Research Center,Shanxi University,Taiyuan 030006,China [2]School of Mathematics and Statistics,Qiannan Normal University for Nationalities,Duyun 558000,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第2期508-525,共18页应用数学学报（英文版）

基　　金：Supported by the Natural Science Foundation of Shanxi Province(202303021211003);the National Natural Science Foundation of China(12126349,11601293,12361102);the Scientific Plan of Guizhou Province(No.Qian Ke He Jichu-ZK[2021]YiBan002).

摘　　要：Considering that HBV belongs to the DNA virus family and is hepatotropic,we model the HBV DNA-containing capsids as a compartment.In this paper,a delayed HBV infection model is established,where the general incidence function and two infection routes including cell-virus infection and cell-cell infection are introduced.According to some preliminaries,including well-posedness,basic reproduction number and existence of two equilibria,we obtain the threshold dynamics for the model.We illustrate numerical simulations to verify the above theoretical results,and furthermore explore the impacts of intracellular delay and cell-cell infection on the global dynamics of the model.

关 键 词：delayed HBV model CAPSIDS general incidence function two infection routes global stability 

分 类 号：R181[医药卫生—流行病学] O175[医药卫生—公共卫生与预防医学]