Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 16, pp. 1-26.

Title: Stability analysis of an age-structured viral infection model with latency
       
Authors: Chunyang Li (Heilongjiang Univ., Harbin, China)
         Xiu Dong (Harbin Institute of Tech., Harbin, China)
         Jinliang Wang (Heilongjiang Univ., Harbin, China)

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.