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Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class

The deadly coronavirus continues to spread across the globe, and mathematical models can be used to show suspected, recovered, and deceased coronavirus patients, as well as how many people have been tested. Researchers still do not know definitively whether surviving a COVID-19 infection means you g...

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Autores principales: Zeb, Anwar, Alzahrani, Ebraheem, Erturk, Vedat Suat, Zaman, Gul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7327565/
https://www.ncbi.nlm.nih.gov/pubmed/32685469
http://dx.doi.org/10.1155/2020/3452402
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author Zeb, Anwar
Alzahrani, Ebraheem
Erturk, Vedat Suat
Zaman, Gul
author_facet Zeb, Anwar
Alzahrani, Ebraheem
Erturk, Vedat Suat
Zaman, Gul
author_sort Zeb, Anwar
collection PubMed
description The deadly coronavirus continues to spread across the globe, and mathematical models can be used to show suspected, recovered, and deceased coronavirus patients, as well as how many people have been tested. Researchers still do not know definitively whether surviving a COVID-19 infection means you gain long-lasting immunity and, if so, for how long? In order to understand, we think that this study may lead to better guessing the spread of this pandemic in future. We develop a mathematical model to present the dynamical behavior of COVID-19 infection by incorporating isolation class. First, the formulation of model is proposed; then, positivity of the model is discussed. The local stability and global stability of proposed model are presented, which depended on the basic reproductive. For the numerical solution of the proposed model, the nonstandard finite difference (NSFD) scheme and Runge-Kutta fourth order method are used. Finally, some graphical results are presented. Our findings show that human to human contact is the potential cause of outbreaks of COVID-19. Therefore, isolation of the infected human overall can reduce the risk of future COVID-19 spread.
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spelling pubmed-73275652020-07-17 Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class Zeb, Anwar Alzahrani, Ebraheem Erturk, Vedat Suat Zaman, Gul Biomed Res Int Research Article The deadly coronavirus continues to spread across the globe, and mathematical models can be used to show suspected, recovered, and deceased coronavirus patients, as well as how many people have been tested. Researchers still do not know definitively whether surviving a COVID-19 infection means you gain long-lasting immunity and, if so, for how long? In order to understand, we think that this study may lead to better guessing the spread of this pandemic in future. We develop a mathematical model to present the dynamical behavior of COVID-19 infection by incorporating isolation class. First, the formulation of model is proposed; then, positivity of the model is discussed. The local stability and global stability of proposed model are presented, which depended on the basic reproductive. For the numerical solution of the proposed model, the nonstandard finite difference (NSFD) scheme and Runge-Kutta fourth order method are used. Finally, some graphical results are presented. Our findings show that human to human contact is the potential cause of outbreaks of COVID-19. Therefore, isolation of the infected human overall can reduce the risk of future COVID-19 spread. Hindawi 2020-06-25 /pmc/articles/PMC7327565/ /pubmed/32685469 http://dx.doi.org/10.1155/2020/3452402 Text en Copyright © 2020 Anwar Zeb et al. http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Zeb, Anwar
Alzahrani, Ebraheem
Erturk, Vedat Suat
Zaman, Gul
Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class
title Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class
title_full Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class
title_fullStr Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class
title_full_unstemmed Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class
title_short Mathematical Model for Coronavirus Disease 2019 (COVID-19) Containing Isolation Class
title_sort mathematical model for coronavirus disease 2019 (covid-19) containing isolation class
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7327565/
https://www.ncbi.nlm.nih.gov/pubmed/32685469
http://dx.doi.org/10.1155/2020/3452402
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