Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator

A mathematical model for the spread of the COVID-19 disease based on a fractional Atangana–Baleanu operator is studied. Some fixed point theorems and generalized Gronwall inequality through the AB fractional integral are applied to obtain the existence and stability results. The fractional Adams–Bas...

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Autores principales: Redhwan, Saleh S., Abdo, Mohammed S., Shah, Kamal, Abdeljawad, Thabet, Dawood, S., Abdo, Hakim A., Shaikh, Sadikali L.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Authors. Published by Elsevier B.V. 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834612/
https://www.ncbi.nlm.nih.gov/pubmed/33520618
http://dx.doi.org/10.1016/j.rinp.2020.103610
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author Redhwan, Saleh S.
Abdo, Mohammed S.
Shah, Kamal
Abdeljawad, Thabet
Dawood, S.
Abdo, Hakim A.
Shaikh, Sadikali L.
author_facet Redhwan, Saleh S.
Abdo, Mohammed S.
Shah, Kamal
Abdeljawad, Thabet
Dawood, S.
Abdo, Hakim A.
Shaikh, Sadikali L.
author_sort Redhwan, Saleh S.
collection PubMed
description A mathematical model for the spread of the COVID-19 disease based on a fractional Atangana–Baleanu operator is studied. Some fixed point theorems and generalized Gronwall inequality through the AB fractional integral are applied to obtain the existence and stability results. The fractional Adams–Bashforth is used to discuss the corresponding numerical results. A numerical simulation is presented to show the behavior of the approximate solution in terms of graphs of the spread of COVID-19 in the Chinese city of Wuhan. We simulate our table for the data of Wuhan from February 15, 2020 to April 25, 2020 for 70 days. Finally, we present a debate about the followed simulation in characterizing how the transmission dynamics of infection can take place in society.
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spelling pubmed-78346122021-01-26 Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator Redhwan, Saleh S. Abdo, Mohammed S. Shah, Kamal Abdeljawad, Thabet Dawood, S. Abdo, Hakim A. Shaikh, Sadikali L. Results Phys Article A mathematical model for the spread of the COVID-19 disease based on a fractional Atangana–Baleanu operator is studied. Some fixed point theorems and generalized Gronwall inequality through the AB fractional integral are applied to obtain the existence and stability results. The fractional Adams–Bashforth is used to discuss the corresponding numerical results. A numerical simulation is presented to show the behavior of the approximate solution in terms of graphs of the spread of COVID-19 in the Chinese city of Wuhan. We simulate our table for the data of Wuhan from February 15, 2020 to April 25, 2020 for 70 days. Finally, we present a debate about the followed simulation in characterizing how the transmission dynamics of infection can take place in society. The Authors. Published by Elsevier B.V. 2020-12 2020-11-16 /pmc/articles/PMC7834612/ /pubmed/33520618 http://dx.doi.org/10.1016/j.rinp.2020.103610 Text en © 2020 The Authors Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Redhwan, Saleh S.
Abdo, Mohammed S.
Shah, Kamal
Abdeljawad, Thabet
Dawood, S.
Abdo, Hakim A.
Shaikh, Sadikali L.
Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator
title Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator
title_full Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator
title_fullStr Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator
title_full_unstemmed Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator
title_short Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator
title_sort mathematical modeling for the outbreak of the coronavirus (covid-19) under fractional nonlocal operator
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834612/
https://www.ncbi.nlm.nih.gov/pubmed/33520618
http://dx.doi.org/10.1016/j.rinp.2020.103610
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