Mathematical analysis of a within-host model of SARS-CoV-2

被引：41

作者：

Nath, Bhagya Jyoti ^{[1
]}

Dehingia, Kaushik ^{[2
]}

Mishra, Vishnu Narayan ^{[3
]}

Chu, Yu-Ming ^{[4
,5
]}

Sarmah, Hemanta Kumar ^{[2
]}

机构：

[1] Barnagar Coll, Dept Math, Barpeta 781317, Assam, India

[2] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India

[3] Indira Gandhi Natl Tribal Univ, Dept Math, Amarkantak 484887, Madhya Pradesh, India

[4] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[5] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

SARS-CoV-2; Epithelial cells; Global stability; Basic reproduction number; 37N25; 34A34; 92B05;

D O I：

10.1186/s13662-021-03276-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we have mathematically analyzed a within-host model of SARS-CoV-2 which is used by Li et al. in the paper "The within-host viral kinetics of SARS-CoV-2" published in (Math. Biosci. Eng. 17(4):2853-2861, 2020). Important properties of the model, like nonnegativity of solutions and their boundedness, are established. Also, we have calculated the basic reproduction number which is an important parameter in the infection models. From stability analysis of the model, it is found that stability of the biologically feasible steady states are determined by the basic reproduction number (chi 0). Numerical simulations are done in order to substantiate analytical results. A biological implication from this study is that a COVID-19 patient with less than one basic reproduction ratio can automatically recover from the infection.

引用

页数：11

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