Electron. J. Differential Equations, Vol. 2022 (2022), No. 16, pp. 1-26.

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

Chunyang Li, Xiu Dong, Jinliang Wang

Abstract:
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.

Submitted April 2, 2021. Published February 28, 2022.
Math Subject Classifications: 34K20, 92D25.
Key Words: Age-structured model; cell-to-cell transmission; uniform persistence; global stability; Lyapunov function; basic reproduction number.
DOI: https://doi.org/10.58997/ejde.2022.16

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Chunyang Li
School of Mathematical Science
Heilongjiang University
Harbin 150080, China
email: 2190977@s.hlju.edu.cn
Xiu Dong
School of Mathematics
Harbin Institute of Technology
Harbin 150001, China
email: ngxiaoxiu@163.com
Jinliang Wang
School of Mathematical Science
Heilongjiang University
Harbin 150080, China
email: jinliangwang@hlju.edu.cn

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