Control of COVID-19 dynamics through a fractional-order model()

We investigate, through a fractional mathematical model, the effects of physical distance on the SARS-CoV-2 virus transmission. Two controls are considered in our model for eradication of the spread of COVID-19: media education, through campaigns explaining the importance of social distancing, use o...

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Detalles Bibliográficos
Autores principales: Bushnaq, Samia, Saeed, Tareq, Torres, Delfim F.M., Zeb, Anwar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7891065/
http://dx.doi.org/10.1016/j.aej.2021.02.022
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author Bushnaq, Samia
Saeed, Tareq
Torres, Delfim F.M.
Zeb, Anwar
author_facet Bushnaq, Samia
Saeed, Tareq
Torres, Delfim F.M.
Zeb, Anwar
author_sort Bushnaq, Samia
collection PubMed
description We investigate, through a fractional mathematical model, the effects of physical distance on the SARS-CoV-2 virus transmission. Two controls are considered in our model for eradication of the spread of COVID-19: media education, through campaigns explaining the importance of social distancing, use of face masks, etc., towards all population, while the second one is quarantine social isolation of the exposed individuals. A general fractional order optimal control problem, and associated optimality conditions of Pontryagin type, are discussed, with the goal to minimize the number of susceptible and infected while maximizing the number of recovered. The extremals are then numerically obtained.
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spelling pubmed-78910652021-02-19 Control of COVID-19 dynamics through a fractional-order model() Bushnaq, Samia Saeed, Tareq Torres, Delfim F.M. Zeb, Anwar Alexandria Engineering Journal Article We investigate, through a fractional mathematical model, the effects of physical distance on the SARS-CoV-2 virus transmission. Two controls are considered in our model for eradication of the spread of COVID-19: media education, through campaigns explaining the importance of social distancing, use of face masks, etc., towards all population, while the second one is quarantine social isolation of the exposed individuals. A general fractional order optimal control problem, and associated optimality conditions of Pontryagin type, are discussed, with the goal to minimize the number of susceptible and infected while maximizing the number of recovered. The extremals are then numerically obtained. THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. 2021-08 2021-02-18 /pmc/articles/PMC7891065/ http://dx.doi.org/10.1016/j.aej.2021.02.022 Text en © 2021 THE AUTHORS. Published by Elsevier BV 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
Bushnaq, Samia
Saeed, Tareq
Torres, Delfim F.M.
Zeb, Anwar
Control of COVID-19 dynamics through a fractional-order model()
title Control of COVID-19 dynamics through a fractional-order model()
title_full Control of COVID-19 dynamics through a fractional-order model()
title_fullStr Control of COVID-19 dynamics through a fractional-order model()
title_full_unstemmed Control of COVID-19 dynamics through a fractional-order model()
title_short Control of COVID-19 dynamics through a fractional-order model()
title_sort control of covid-19 dynamics through a fractional-order model()
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7891065/
http://dx.doi.org/10.1016/j.aej.2021.02.022
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