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
Show me the PDF file (384 KB), TEX file for this article.
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Chunyang Li School of Mathematical Science Heilongjiang University Harbin 150080, China email: 2190977@s.hlju.edu.cn |
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Xiu Dong School of Mathematics Harbin Institute of Technology Harbin 150001, China email: ngxiaoxiu@163.com |
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Jinliang Wang School of Mathematical Science Heilongjiang University Harbin 150080, China email: jinliangwang@hlju.edu.cn |
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