A Mathematical Model of COVID-19 Pandemic: A Case Study of Bangkok, Thailand

In this study, we propose a new mathematical model and analyze it to understand the transmission dynamics of the COVID-19 pandemic in Bangkok, Thailand. It is divided into seven compartmental classes, namely, susceptible S, exposed E, symptomatically infected Is, asymptomatically infected Ia, quaran...

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Main Authors: Pakwan Riyapan, Sherif Eneye Shuaib, Arthit Intarasit
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Computational and Mathematical Methods in Medicine
Online Access:http://dx.doi.org/10.1155/2021/6664483
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spelling doaj-d6db71ba71a34aee9d398281d71b17b62021-04-12T01:23:26ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-67182021-01-01202110.1155/2021/6664483A Mathematical Model of COVID-19 Pandemic: A Case Study of Bangkok, ThailandPakwan Riyapan0Sherif Eneye Shuaib1Arthit Intarasit2Department of Mathematics and Computer ScienceDepartment of Mathematics and Computer ScienceDepartment of Mathematics and Computer ScienceIn this study, we propose a new mathematical model and analyze it to understand the transmission dynamics of the COVID-19 pandemic in Bangkok, Thailand. It is divided into seven compartmental classes, namely, susceptible S, exposed E, symptomatically infected Is, asymptomatically infected Ia, quarantined Q, recovered R, and death D, respectively. The next-generation matrix approach was used to compute the basic reproduction number denoted as Rcvd19 of the proposed model. The results show that the disease-free equilibrium is globally asymptotically stable if Rcvd19<1. On the other hand, the global asymptotic stability of the endemic equilibrium occurs if Rcvd19>1. The mathematical analysis of the model is supported using numerical simulations. Moreover, the model’s analysis and numerical results prove that the consistent use of face masks would go on a long way in reducing the COVID-19 pandemic.http://dx.doi.org/10.1155/2021/6664483
collection DOAJ
language English
format Article
sources DOAJ
author Pakwan Riyapan
Sherif Eneye Shuaib
Arthit Intarasit
spellingShingle Pakwan Riyapan
Sherif Eneye Shuaib
Arthit Intarasit
A Mathematical Model of COVID-19 Pandemic: A Case Study of Bangkok, Thailand
Computational and Mathematical Methods in Medicine
author_facet Pakwan Riyapan
Sherif Eneye Shuaib
Arthit Intarasit
author_sort Pakwan Riyapan
title A Mathematical Model of COVID-19 Pandemic: A Case Study of Bangkok, Thailand
title_short A Mathematical Model of COVID-19 Pandemic: A Case Study of Bangkok, Thailand
title_full A Mathematical Model of COVID-19 Pandemic: A Case Study of Bangkok, Thailand
title_fullStr A Mathematical Model of COVID-19 Pandemic: A Case Study of Bangkok, Thailand
title_full_unstemmed A Mathematical Model of COVID-19 Pandemic: A Case Study of Bangkok, Thailand
title_sort mathematical model of covid-19 pandemic: a case study of bangkok, thailand
publisher Hindawi Limited
series Computational and Mathematical Methods in Medicine
issn 1748-6718
publishDate 2021-01-01
description In this study, we propose a new mathematical model and analyze it to understand the transmission dynamics of the COVID-19 pandemic in Bangkok, Thailand. It is divided into seven compartmental classes, namely, susceptible S, exposed E, symptomatically infected Is, asymptomatically infected Ia, quarantined Q, recovered R, and death D, respectively. The next-generation matrix approach was used to compute the basic reproduction number denoted as Rcvd19 of the proposed model. The results show that the disease-free equilibrium is globally asymptotically stable if Rcvd19<1. On the other hand, the global asymptotic stability of the endemic equilibrium occurs if Rcvd19>1. The mathematical analysis of the model is supported using numerical simulations. Moreover, the model’s analysis and numerical results prove that the consistent use of face masks would go on a long way in reducing the COVID-19 pandemic.
url http://dx.doi.org/10.1155/2021/6664483
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