Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law

In the current article, we studied the novel corona virus (2019-nCoV or COVID-19) which is a threat to the whole world nowadays. We consider a fractional order epidemic model which describes the dynamics of COVID-19 under nonsingular kernel type of fractional derivative. An attempt is made to discus...

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Detalles Bibliográficos
Autores principales: Sher, Muhammad, Shah, Kamal, Khan, Zareen A., Khan, Hasib, Khan, Aziz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7373366/
http://dx.doi.org/10.1016/j.aej.2020.07.014
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author Sher, Muhammad
Shah, Kamal
Khan, Zareen A.
Khan, Hasib
Khan, Aziz
author_facet Sher, Muhammad
Shah, Kamal
Khan, Zareen A.
Khan, Hasib
Khan, Aziz
author_sort Sher, Muhammad
collection PubMed
description In the current article, we studied the novel corona virus (2019-nCoV or COVID-19) which is a threat to the whole world nowadays. We consider a fractional order epidemic model which describes the dynamics of COVID-19 under nonsingular kernel type of fractional derivative. An attempt is made to discuss the existence of the model using the fixed point theorem of Banach and Krasnoselskii’s type. We will also discuss the Ulam-Hyers type of stability of the mentioned problem. For semi analytical solution of the problem the Laplace Adomian decomposition method (LADM) is suggested to obtain the required solution. The results are simulated via Matlab by graphs. Also we have compare the simulated results with some reported real data for Commutative class at classical order.
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spelling pubmed-73733662020-07-22 Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law Sher, Muhammad Shah, Kamal Khan, Zareen A. Khan, Hasib Khan, Aziz Alexandria Engineering Journal Article In the current article, we studied the novel corona virus (2019-nCoV or COVID-19) which is a threat to the whole world nowadays. We consider a fractional order epidemic model which describes the dynamics of COVID-19 under nonsingular kernel type of fractional derivative. An attempt is made to discuss the existence of the model using the fixed point theorem of Banach and Krasnoselskii’s type. We will also discuss the Ulam-Hyers type of stability of the mentioned problem. For semi analytical solution of the problem the Laplace Adomian decomposition method (LADM) is suggested to obtain the required solution. The results are simulated via Matlab by graphs. Also we have compare the simulated results with some reported real data for Commutative class at classical order. The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. 2020-10 2020-07-15 /pmc/articles/PMC7373366/ http://dx.doi.org/10.1016/j.aej.2020.07.014 Text en © 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. 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
Sher, Muhammad
Shah, Kamal
Khan, Zareen A.
Khan, Hasib
Khan, Aziz
Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law
title Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law
title_full Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law
title_fullStr Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law
title_full_unstemmed Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law
title_short Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law
title_sort computational and theoretical modeling of the transmission dynamics of novel covid-19 under mittag-leffler power law
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7373366/
http://dx.doi.org/10.1016/j.aej.2020.07.014
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