On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan

In this paper, a fractional-order SIRD mathematical model is presented with Caputo derivative for the transmission of COVID-19 between humans. We calculate the steady-states of the system and discuss their stability. We also discuss the existence and uniqueness of a non-negative solution for the sys...

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Autores principales: Mohammadi, Hakimeh, Rezapour, Shahram, Jajarmi, Amin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: ISA. Published by Elsevier Ltd. 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8035661/
https://www.ncbi.nlm.nih.gov/pubmed/33867134
http://dx.doi.org/10.1016/j.isatra.2021.04.012
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author Mohammadi, Hakimeh
Rezapour, Shahram
Jajarmi, Amin
author_facet Mohammadi, Hakimeh
Rezapour, Shahram
Jajarmi, Amin
author_sort Mohammadi, Hakimeh
collection PubMed
description In this paper, a fractional-order SIRD mathematical model is presented with Caputo derivative for the transmission of COVID-19 between humans. We calculate the steady-states of the system and discuss their stability. We also discuss the existence and uniqueness of a non-negative solution for the system under study. Additionally, we obtain an approximate response by implementing the fractional Euler method. Next, we investigate the first and the second waves of the disease in Iran and Japan; then we give a prediction concerning the second wave of the disease. We display the numerical simulations for different derivative orders in order to evaluate the efficacy of the fractional concept on the system behaviors. We also calculate the optimal control of the system and display its numerical simulations.
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spelling pubmed-80356612021-04-12 On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan Mohammadi, Hakimeh Rezapour, Shahram Jajarmi, Amin ISA Trans Research Article In this paper, a fractional-order SIRD mathematical model is presented with Caputo derivative for the transmission of COVID-19 between humans. We calculate the steady-states of the system and discuss their stability. We also discuss the existence and uniqueness of a non-negative solution for the system under study. Additionally, we obtain an approximate response by implementing the fractional Euler method. Next, we investigate the first and the second waves of the disease in Iran and Japan; then we give a prediction concerning the second wave of the disease. We display the numerical simulations for different derivative orders in order to evaluate the efficacy of the fractional concept on the system behaviors. We also calculate the optimal control of the system and display its numerical simulations. ISA. Published by Elsevier Ltd. 2022-05 2021-04-10 /pmc/articles/PMC8035661/ /pubmed/33867134 http://dx.doi.org/10.1016/j.isatra.2021.04.012 Text en © 2021 ISA. Published by 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 Research Article
Mohammadi, Hakimeh
Rezapour, Shahram
Jajarmi, Amin
On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan
title On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan
title_full On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan
title_fullStr On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan
title_full_unstemmed On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan
title_short On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan
title_sort on the fractional sird mathematical model and control for the transmission of covid-19: the first and the second waves of the disease in iran and japan
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8035661/
https://www.ncbi.nlm.nih.gov/pubmed/33867134
http://dx.doi.org/10.1016/j.isatra.2021.04.012
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