A Mathematical Model for the COVID-19 Outbreak and Its Applications

A Mathematical Model for the COVID-19 Outbreak and Its Applications

A mathematical model based on nonlinear ordinary differential equations is proposed for quantitative description of the outbreak of the novel coronavirus pandemic. The model possesses remarkable properties, such as as full integrability. The comparison with the public data shows that exact solutions...

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Bibliographic Details
Main Authors: Roman Cherniha, Vasyl’ Davydovych
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Symmetry
Subjects:
nonlinear mathematical model
modeling infectious diseases
logistic equation
integrability
exact solution
Online Access:https://www.mdpi.com/2073-8994/12/6/990
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spelling doaj-198ac5e349674525b73c8d6f0c6042792020-11-25T03:11:51ZengMDPI AGSymmetry2073-89942020-06-011299099010.3390/sym12060990A Mathematical Model for the COVID-19 Outbreak and Its ApplicationsRoman Cherniha0Vasyl’ Davydovych1Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivs’ka Street, 01004 Kyiv, UkraineInstitute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivs’ka Street, 01004 Kyiv, UkraineA mathematical model based on nonlinear ordinary differential equations is proposed for quantitative description of the outbreak of the novel coronavirus pandemic. The model possesses remarkable properties, such as as full integrability. The comparison with the public data shows that exact solutions of the model (with the correctly specified parameters) lead to the results, which are in good agreement with the measured data in China and Austria. Prediction of the total number of the COVID-19 cases is discussed and examples are presented using the measured data in Austria, France, and Poland. Some generalizations of the model are suggested as well.https://www.mdpi.com/2073-8994/12/6/990nonlinear mathematical modelmodeling infectious diseaseslogistic equationintegrabilityexact solution
collection DOAJ
language English
format Article
sources DOAJ
author Roman Cherniha
Vasyl’ Davydovych
spellingShingle Roman Cherniha
Vasyl’ Davydovych
A Mathematical Model for the COVID-19 Outbreak and Its Applications
Symmetry
nonlinear mathematical model
modeling infectious diseases
logistic equation
integrability
exact solution
author_facet Roman Cherniha
Vasyl’ Davydovych
author_sort Roman Cherniha
title A Mathematical Model for the COVID-19 Outbreak and Its Applications
title_short A Mathematical Model for the COVID-19 Outbreak and Its Applications
title_full A Mathematical Model for the COVID-19 Outbreak and Its Applications
title_fullStr A Mathematical Model for the COVID-19 Outbreak and Its Applications
title_full_unstemmed A Mathematical Model for the COVID-19 Outbreak and Its Applications
title_sort mathematical model for the covid-19 outbreak and its applications
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-06-01
description A mathematical model based on nonlinear ordinary differential equations is proposed for quantitative description of the outbreak of the novel coronavirus pandemic. The model possesses remarkable properties, such as as full integrability. The comparison with the public data shows that exact solutions of the model (with the correctly specified parameters) lead to the results, which are in good agreement with the measured data in China and Austria. Prediction of the total number of the COVID-19 cases is discussed and examples are presented using the measured data in Austria, France, and Poland. Some generalizations of the model are suggested as well.
topic nonlinear mathematical model
modeling infectious diseases
logistic equation
integrability
exact solution
url https://www.mdpi.com/2073-8994/12/6/990
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AT vasyldavydovych amathematicalmodelforthecovid19outbreakanditsapplications
AT romancherniha mathematicalmodelforthecovid19outbreakanditsapplications
AT vasyldavydovych mathematicalmodelforthecovid19outbreakanditsapplications
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