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A fractional order Covid-19 epidemic model with Mittag-Leffler kernel

In this article, we are studying fractional-order COVID-19 model for the analytical and computational aspects. The model consists of five compartments including; [Formula: see text] which denotes susceptible class, [Formula: see text] represents exposed population, [Formula: see text] is the class f...

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Autores principales: Khan, Hasib, Ibrahim, Muhammad, Abdel-Aty, Abdel-Haleem, Khashan, M. Motawi, Khan, Farhat Ali, Khan, Aziz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8114791/
https://www.ncbi.nlm.nih.gov/pubmed/34002105
http://dx.doi.org/10.1016/j.chaos.2021.111030
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author Khan, Hasib
Ibrahim, Muhammad
Abdel-Aty, Abdel-Haleem
Khashan, M. Motawi
Khan, Farhat Ali
Khan, Aziz
author_facet Khan, Hasib
Ibrahim, Muhammad
Abdel-Aty, Abdel-Haleem
Khashan, M. Motawi
Khan, Farhat Ali
Khan, Aziz
author_sort Khan, Hasib
collection PubMed
description In this article, we are studying fractional-order COVID-19 model for the analytical and computational aspects. The model consists of five compartments including; [Formula: see text] which denotes susceptible class, [Formula: see text] represents exposed population, [Formula: see text] is the class for infected people who have been developed with COVID-19 and can cause spread in the population. The recovered class is denoted by [Formula: see text] and [Formula: see text] is the concentration of COVID-19 virus in the area. The computational study shows us that the spread will be continued for long time and the recovery reduces the infection rate. The numerical scheme is based on the Lagrange’s interpolation polynomial and the numerical results for the suggested model are similar to the integer order which gives us the applicability of the numerical scheme and effectiveness of the fractional order derivative.
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spelling pubmed-81147912021-05-13 A fractional order Covid-19 epidemic model with Mittag-Leffler kernel Khan, Hasib Ibrahim, Muhammad Abdel-Aty, Abdel-Haleem Khashan, M. Motawi Khan, Farhat Ali Khan, Aziz Chaos Solitons Fractals Article In this article, we are studying fractional-order COVID-19 model for the analytical and computational aspects. The model consists of five compartments including; [Formula: see text] which denotes susceptible class, [Formula: see text] represents exposed population, [Formula: see text] is the class for infected people who have been developed with COVID-19 and can cause spread in the population. The recovered class is denoted by [Formula: see text] and [Formula: see text] is the concentration of COVID-19 virus in the area. The computational study shows us that the spread will be continued for long time and the recovery reduces the infection rate. The numerical scheme is based on the Lagrange’s interpolation polynomial and the numerical results for the suggested model are similar to the integer order which gives us the applicability of the numerical scheme and effectiveness of the fractional order derivative. Elsevier Ltd. 2021-07 2021-05-12 /pmc/articles/PMC8114791/ /pubmed/34002105 http://dx.doi.org/10.1016/j.chaos.2021.111030 Text en © 2021 Elsevier Ltd. All rights reserved. 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
Khan, Hasib
Ibrahim, Muhammad
Abdel-Aty, Abdel-Haleem
Khashan, M. Motawi
Khan, Farhat Ali
Khan, Aziz
A fractional order Covid-19 epidemic model with Mittag-Leffler kernel
title A fractional order Covid-19 epidemic model with Mittag-Leffler kernel
title_full A fractional order Covid-19 epidemic model with Mittag-Leffler kernel
title_fullStr A fractional order Covid-19 epidemic model with Mittag-Leffler kernel
title_full_unstemmed A fractional order Covid-19 epidemic model with Mittag-Leffler kernel
title_short A fractional order Covid-19 epidemic model with Mittag-Leffler kernel
title_sort fractional order covid-19 epidemic model with mittag-leffler kernel
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8114791/
https://www.ncbi.nlm.nih.gov/pubmed/34002105
http://dx.doi.org/10.1016/j.chaos.2021.111030
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