Mathematical modeling of the spread of the COVID’19 with optimal control strategies

In this work, we formulated an SEQIRS mathematical model with four control variables, which describes the spread of the coro-navirus in a community. An optimal control problem was well introduced in order to verify the existence of optimal controls that minimize susceptible, exposed, and infected in...

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Autores principales: Maryam, RIOUALI, Fouad, LAHMIDI, Imane, ELBARRAI, Abdelwahe, NAMIR
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Author(s). Published by Elsevier B.V. 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9374313/
https://www.ncbi.nlm.nih.gov/pubmed/35974965
http://dx.doi.org/10.1016/j.procs.2022.07.066
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author Maryam, RIOUALI
Fouad, LAHMIDI
Imane, ELBARRAI
Abdelwahe, NAMIR
author_facet Maryam, RIOUALI
Fouad, LAHMIDI
Imane, ELBARRAI
Abdelwahe, NAMIR
author_sort Maryam, RIOUALI
collection PubMed
description In this work, we formulated an SEQIRS mathematical model with four control variables, which describes the spread of the coro-navirus in a community. An optimal control problem was well introduced in order to verify the existence of optimal controls that minimize susceptible, exposed, and infected individuals. Also, we use Pontryagin's Maximum Principle to characterize the optimal control strategies to minimize the spread dynamics of the COVID’19.
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spelling pubmed-93743132022-08-12 Mathematical modeling of the spread of the COVID’19 with optimal control strategies Maryam, RIOUALI Fouad, LAHMIDI Imane, ELBARRAI Abdelwahe, NAMIR Procedia Comput Sci Article In this work, we formulated an SEQIRS mathematical model with four control variables, which describes the spread of the coro-navirus in a community. An optimal control problem was well introduced in order to verify the existence of optimal controls that minimize susceptible, exposed, and infected individuals. Also, we use Pontryagin's Maximum Principle to characterize the optimal control strategies to minimize the spread dynamics of the COVID’19. The Author(s). Published by Elsevier B.V. 2022 2022-08-12 /pmc/articles/PMC9374313/ /pubmed/35974965 http://dx.doi.org/10.1016/j.procs.2022.07.066 Text en © 2022 The Author(s). Published by Elsevier B.V. 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
Maryam, RIOUALI
Fouad, LAHMIDI
Imane, ELBARRAI
Abdelwahe, NAMIR
Mathematical modeling of the spread of the COVID’19 with optimal control strategies
title Mathematical modeling of the spread of the COVID’19 with optimal control strategies
title_full Mathematical modeling of the spread of the COVID’19 with optimal control strategies
title_fullStr Mathematical modeling of the spread of the COVID’19 with optimal control strategies
title_full_unstemmed Mathematical modeling of the spread of the COVID’19 with optimal control strategies
title_short Mathematical modeling of the spread of the COVID’19 with optimal control strategies
title_sort mathematical modeling of the spread of the covid’19 with optimal control strategies
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9374313/
https://www.ncbi.nlm.nih.gov/pubmed/35974965
http://dx.doi.org/10.1016/j.procs.2022.07.066
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