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

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 thei...

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Autores principales: Nath, Bhagya Jyoti, Dehingia, Kaushik, Mishra, Vishnu Narayan, Chu, Yu-Ming, Sarmah, Hemanta Kumar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7888694/
https://www.ncbi.nlm.nih.gov/pubmed/33619433
http://dx.doi.org/10.1186/s13662-021-03276-1
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author Nath, Bhagya Jyoti
Dehingia, Kaushik
Mishra, Vishnu Narayan
Chu, Yu-Ming
Sarmah, Hemanta Kumar
author_facet Nath, Bhagya Jyoti
Dehingia, Kaushik
Mishra, Vishnu Narayan
Chu, Yu-Ming
Sarmah, Hemanta Kumar
author_sort Nath, Bhagya Jyoti
collection PubMed
description 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 [Formula: see text] . 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.
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spelling pubmed-78886942021-02-18 Mathematical analysis of a within-host model of SARS-CoV-2 Nath, Bhagya Jyoti Dehingia, Kaushik Mishra, Vishnu Narayan Chu, Yu-Ming Sarmah, Hemanta Kumar Adv Differ Equ Research 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 [Formula: see text] . 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. Springer International Publishing 2021-02-17 2021 /pmc/articles/PMC7888694/ /pubmed/33619433 http://dx.doi.org/10.1186/s13662-021-03276-1 Text en © The Author(s) 2021 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Research
Nath, Bhagya Jyoti
Dehingia, Kaushik
Mishra, Vishnu Narayan
Chu, Yu-Ming
Sarmah, Hemanta Kumar
Mathematical analysis of a within-host model of SARS-CoV-2
title Mathematical analysis of a within-host model of SARS-CoV-2
title_full Mathematical analysis of a within-host model of SARS-CoV-2
title_fullStr Mathematical analysis of a within-host model of SARS-CoV-2
title_full_unstemmed Mathematical analysis of a within-host model of SARS-CoV-2
title_short Mathematical analysis of a within-host model of SARS-CoV-2
title_sort mathematical analysis of a within-host model of sars-cov-2
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7888694/
https://www.ncbi.nlm.nih.gov/pubmed/33619433
http://dx.doi.org/10.1186/s13662-021-03276-1
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