Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function

In this paper, we consider a fractional COVID-19 epidemic model with a convex incidence rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account. We establish the equilibrium points, basic reproduction number, and local stability at both the equilibrium points. The ex...

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Autores principales: Khan, Amir, Zarin, Rahat, Humphries, Usa Wannasingha, Akgül, Ali, Saeed, Anwar, Gul, Taza
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8374131/
https://www.ncbi.nlm.nih.gov/pubmed/34426736
http://dx.doi.org/10.1186/s13662-021-03546-y
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author Khan, Amir
Zarin, Rahat
Humphries, Usa Wannasingha
Akgül, Ali
Saeed, Anwar
Gul, Taza
author_facet Khan, Amir
Zarin, Rahat
Humphries, Usa Wannasingha
Akgül, Ali
Saeed, Anwar
Gul, Taza
author_sort Khan, Amir
collection PubMed
description In this paper, we consider a fractional COVID-19 epidemic model with a convex incidence rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account. We establish the equilibrium points, basic reproduction number, and local stability at both the equilibrium points. The existence and uniqueness of the solution are proved by using Banach and Leray–Schauder alternative type theorems. For the fractional numerical simulations, we use the Toufik–Atangana scheme. Optimal control analysis is carried out to minimize the infection and maximize the susceptible people.
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spelling pubmed-83741312021-08-19 Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function Khan, Amir Zarin, Rahat Humphries, Usa Wannasingha Akgül, Ali Saeed, Anwar Gul, Taza Adv Differ Equ Research In this paper, we consider a fractional COVID-19 epidemic model with a convex incidence rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account. We establish the equilibrium points, basic reproduction number, and local stability at both the equilibrium points. The existence and uniqueness of the solution are proved by using Banach and Leray–Schauder alternative type theorems. For the fractional numerical simulations, we use the Toufik–Atangana scheme. Optimal control analysis is carried out to minimize the infection and maximize the susceptible people. Springer International Publishing 2021-08-19 2021 /pmc/articles/PMC8374131/ /pubmed/34426736 http://dx.doi.org/10.1186/s13662-021-03546-y Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research
Khan, Amir
Zarin, Rahat
Humphries, Usa Wannasingha
Akgül, Ali
Saeed, Anwar
Gul, Taza
Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function
title Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function
title_full Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function
title_fullStr Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function
title_full_unstemmed Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function
title_short Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function
title_sort fractional optimal control of covid-19 pandemic model with generalized mittag-leffler function
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8374131/
https://www.ncbi.nlm.nih.gov/pubmed/34426736
http://dx.doi.org/10.1186/s13662-021-03546-y
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