Stability analysis of an age-structured viral infection model with latency

Electronic Journal of Differential Equations

article

Chunyang Li¹  Xiu Dong²  Jinliang Wang¹ 

[1] School of Mathematical Science Heilongjiang University Harbin 150080;School of Mathematics Harbin Institute of Technology Harbin 150001

关键词: Age-structured model;    cell-to-cell transmission;    uniform persistence;    global stability;    Lyapunov function;    basic reproduction number.;   

DOI  :  10.58997/ejde.2022.16

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

Age structure and cell-to-cell transmission are two major infection mechanisms in modeling spread of infectious diseases. We propose an age-structured viral infection model with latency, infection age-structure and cell-to-cell transmission. This paper aims to reveal the basic reproduction number and prove it to be a sharp threshold determining whether the infection dies out or not.Mathematical analysis is presented on relative compactness of the orbit, existence of a global attractor, and uniform persistence of system. We further investigate local and global stability of the infection-free and infection equilibrium.

【 授权许可】

CC BY