Fractional order mathematical modeling of COVID-19 transmission

In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for t...

Descripción completa

Detalles Bibliográficos
Autores principales: Ahmad, Shabir, Ullah, Aman, Al-Mdallal, Qasem M., Khan, Hasib, Shah, Kamal, Khan, Aziz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2020
Materias:
Frontiers
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7466947/
https://www.ncbi.nlm.nih.gov/pubmed/32905156
http://dx.doi.org/10.1016/j.chaos.2020.110256
_version_ 1783577920334200832
author Ahmad, Shabir
Ullah, Aman
Al-Mdallal, Qasem M.
Khan, Hasib
Shah, Kamal
Khan, Aziz
author_facet Ahmad, Shabir
Ullah, Aman
Al-Mdallal, Qasem M.
Khan, Hasib
Shah, Kamal
Khan, Aziz
author_sort Ahmad, Shabir
collection PubMed
description In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for the concerned approximate solution, the modified Euler method for fractional-order differential equations (FODEs) is utilized. Initially, we simulate the results by using some available data for different fractional-order to show the appropriateness of the proposed method. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.
format Online
Article
Text
id pubmed-7466947
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher Elsevier Ltd.
record_format MEDLINE/PubMed
spelling pubmed-74669472020-09-02 Fractional order mathematical modeling of COVID-19 transmission Ahmad, Shabir Ullah, Aman Al-Mdallal, Qasem M. Khan, Hasib Shah, Kamal Khan, Aziz Chaos Solitons Fractals Frontiers In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for the concerned approximate solution, the modified Euler method for fractional-order differential equations (FODEs) is utilized. Initially, we simulate the results by using some available data for different fractional-order to show the appropriateness of the proposed method. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city. Elsevier Ltd. 2020-10 2020-09-02 /pmc/articles/PMC7466947/ /pubmed/32905156 http://dx.doi.org/10.1016/j.chaos.2020.110256 Text en © 2020 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 Frontiers
Ahmad, Shabir
Ullah, Aman
Al-Mdallal, Qasem M.
Khan, Hasib
Shah, Kamal
Khan, Aziz
Fractional order mathematical modeling of COVID-19 transmission
title Fractional order mathematical modeling of COVID-19 transmission
title_full Fractional order mathematical modeling of COVID-19 transmission
title_fullStr Fractional order mathematical modeling of COVID-19 transmission
title_full_unstemmed Fractional order mathematical modeling of COVID-19 transmission
title_short Fractional order mathematical modeling of COVID-19 transmission
title_sort fractional order mathematical modeling of covid-19 transmission
topic Frontiers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7466947/
https://www.ncbi.nlm.nih.gov/pubmed/32905156
http://dx.doi.org/10.1016/j.chaos.2020.110256
work_keys_str_mv AT ahmadshabir fractionalordermathematicalmodelingofcovid19transmission
AT ullahaman fractionalordermathematicalmodelingofcovid19transmission
AT almdallalqasemm fractionalordermathematicalmodelingofcovid19transmission
AT khanhasib fractionalordermathematicalmodelingofcovid19transmission
AT shahkamal fractionalordermathematicalmodelingofcovid19transmission
AT khanaziz fractionalordermathematicalmodelingofcovid19transmission

Ejemplares similares