Stability analysis of an age-structured viral infection model with latency
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Date
2022-02-28
Authors
Li, Chunyang
Dong, Xiu
Wang, Jinliang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Age-structured model, Cell-to-cell transmission, Uniform persistence, Global stability, Lyapunov function, Basic reproduction number
Citation
Li, C., Dong, X., & Wang, J. (2022). Stability analysis of an age-structured viral infection model with latency. <i>Electronic Journal of Differential Equations, 2022</i>(16), pp. 1-26.
Rights
Attribution 4.0 International