Global stability of an age-structured infection model in vivo with two compartments and two routes

被引：0

作者：

Kajiwara, Tsuyoshi ^{[1
]}

Sasaki, Toru ^{[2
]}

Otani, Yoji ^{[3
]}

机构：

[1] Okayama Univ, Grad Sch Environm & Life Sci, Okayama, Japan

[2] Okayama Univ, Fac Environm & Life Sci, Okayama, Japan

[3] Okayama Univ, Sch Engn, Okayama, Japan

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2022年 / 19卷 / 11期

关键词：

global stability; two routes of infection; two compartments; type reproduction number; lyapunov functional; TO-CELL INFECTION; VIRUS MODEL; CONSTRUCTION; DYNAMICS;

D O I：

10.3934/mbe.2022515

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, for an infection age model with two routes, virus-to-cell and cell-to-cell, and with two compartments, we show that the basic reproduction ratio R-0 gives the threshold of the stability. If R-0 > 1, the interior equilibrium is unique and globally stable, and if R-0 <= 1, the disease free equilibrium is globally stable. Some stability results are obtained in previous research, but, for example, a complete proof of the global stability of the disease equilibrium was not shown. We give the proof for all the cases, and show that we can use a type reproduction number for this model.

引用

页码：11047 / 11070

页数：24

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