SARS-CoV-2宿主内模型的数学分析

IF 4.1 3区数学 Q1 Mathematics Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-02-17 DOI:10.1186/s13662-021-03276-1

Bhagya Jyoti Nath, Kaushik Dehingia, Vishnu Narayan Mishra, Yu-Ming Chu, Hemanta Kumar Sarmah

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引用次数: 33

摘要

在本文中，我们对Li等人在《the within-host viral kinetics of SARS-CoV-2》一文中使用的SARS-CoV-2宿主内模型进行了数学分析。Biosci。工程学报，17(4):2853-2861,2020)。建立了该模型解的非负性和有界性等重要性质。同时，我们还计算了基本繁殖数，这是感染模型中的一个重要参数。从模型的稳定性分析可知，生物可行稳态的稳定性是由基本繁殖数(χ 0)决定的。为了证实分析结果，进行了数值模拟。这项研究的生物学意义是，少于一个基本生殖比例的COVID-19患者可以自动从感染中恢复过来。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 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 $(χ_{0})$ . 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.

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来源期刊

Advances in Difference Equations 数学-数学

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions. The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between. The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations. Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.