Numerical treatments for the optimal control of two types variable-order COVID-19 model

In this paper, a novel variable-order COVID-19 model with modified parameters is presented. The variable-order fractional derivatives are defined in the Caputo sense. Two types of variable order Caputo definitions are presented here. The basic reproduction number of the model is derived. Properties...

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Autores principales: Sweilam, Nasser, Al-Mekhlafi, Seham, Shatta, Salma, Baleanu, Dumitru
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Authors. Published by Elsevier B.V. 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9444160/
https://www.ncbi.nlm.nih.gov/pubmed/36092971
http://dx.doi.org/10.1016/j.rinp.2022.105964
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author Sweilam, Nasser
Al-Mekhlafi, Seham
Shatta, Salma
Baleanu, Dumitru
author_facet Sweilam, Nasser
Al-Mekhlafi, Seham
Shatta, Salma
Baleanu, Dumitru
author_sort Sweilam, Nasser
collection PubMed
description In this paper, a novel variable-order COVID-19 model with modified parameters is presented. The variable-order fractional derivatives are defined in the Caputo sense. Two types of variable order Caputo definitions are presented here. The basic reproduction number of the model is derived. Properties of the proposed model are studied analytically and numerically. The suggested optimal control model is studied using two numerical methods. These methods are non-standard generalized fourth-order Runge–Kutta method and the non-standard generalized fifth-order Runge–Kutta technique. Furthermore, the stability of the proposed methods are studied. To demonstrate the methodologies’ simplicity and effectiveness, numerical test examples and comparisons with real data for Egypt and Italy are shown.
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spelling pubmed-94441602022-09-06 Numerical treatments for the optimal control of two types variable-order COVID-19 model Sweilam, Nasser Al-Mekhlafi, Seham Shatta, Salma Baleanu, Dumitru Results Phys Article In this paper, a novel variable-order COVID-19 model with modified parameters is presented. The variable-order fractional derivatives are defined in the Caputo sense. Two types of variable order Caputo definitions are presented here. The basic reproduction number of the model is derived. Properties of the proposed model are studied analytically and numerically. The suggested optimal control model is studied using two numerical methods. These methods are non-standard generalized fourth-order Runge–Kutta method and the non-standard generalized fifth-order Runge–Kutta technique. Furthermore, the stability of the proposed methods are studied. To demonstrate the methodologies’ simplicity and effectiveness, numerical test examples and comparisons with real data for Egypt and Italy are shown. The Authors. Published by Elsevier B.V. 2022-11 2022-09-05 /pmc/articles/PMC9444160/ /pubmed/36092971 http://dx.doi.org/10.1016/j.rinp.2022.105964 Text en © 2022 The Authors. 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
Sweilam, Nasser
Al-Mekhlafi, Seham
Shatta, Salma
Baleanu, Dumitru
Numerical treatments for the optimal control of two types variable-order COVID-19 model
title Numerical treatments for the optimal control of two types variable-order COVID-19 model
title_full Numerical treatments for the optimal control of two types variable-order COVID-19 model
title_fullStr Numerical treatments for the optimal control of two types variable-order COVID-19 model
title_full_unstemmed Numerical treatments for the optimal control of two types variable-order COVID-19 model
title_short Numerical treatments for the optimal control of two types variable-order COVID-19 model
title_sort numerical treatments for the optimal control of two types variable-order covid-19 model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9444160/
https://www.ncbi.nlm.nih.gov/pubmed/36092971
http://dx.doi.org/10.1016/j.rinp.2022.105964
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