A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients

In this article, we consider a Covid-19 model for a population involving diabetics as a subclass in the fractal–fractional (FF) sense of derivative. The study includes: existence results, uniqueness, stability and numerical simulations. Existence results are studied with the help of fixed-point theo...

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Autores principales: Khan, Hasib, Alzabut, Jehad, Tunç, Osman, Kaabar, Mohammed K.A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Author(s). Published by Elsevier B.V. 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9830906/
http://dx.doi.org/10.1016/j.rico.2023.100199
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author Khan, Hasib
Alzabut, Jehad
Tunç, Osman
Kaabar, Mohammed K.A.
author_facet Khan, Hasib
Alzabut, Jehad
Tunç, Osman
Kaabar, Mohammed K.A.
author_sort Khan, Hasib
collection PubMed
description In this article, we consider a Covid-19 model for a population involving diabetics as a subclass in the fractal–fractional (FF) sense of derivative. The study includes: existence results, uniqueness, stability and numerical simulations. Existence results are studied with the help of fixed-point theory and applications. The numerical scheme of this paper is based upon the Lagrange’s interpolation polynomial and is tested for a particular case with numerical values from available open sources. The results are getting closer to the classical case for the orders reaching to 1 while all other solutions are different with the same behavior. As a result, the fractional order model gives more significant information about the case study.
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spelling pubmed-98309062023-01-10 A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients Khan, Hasib Alzabut, Jehad Tunç, Osman Kaabar, Mohammed K.A. Results in Control and Optimization Article In this article, we consider a Covid-19 model for a population involving diabetics as a subclass in the fractal–fractional (FF) sense of derivative. The study includes: existence results, uniqueness, stability and numerical simulations. Existence results are studied with the help of fixed-point theory and applications. The numerical scheme of this paper is based upon the Lagrange’s interpolation polynomial and is tested for a particular case with numerical values from available open sources. The results are getting closer to the classical case for the orders reaching to 1 while all other solutions are different with the same behavior. As a result, the fractional order model gives more significant information about the case study. The Author(s). Published by Elsevier B.V. 2023-03 2023-01-10 /pmc/articles/PMC9830906/ http://dx.doi.org/10.1016/j.rico.2023.100199 Text en © 2023 The Author(s) 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
Khan, Hasib
Alzabut, Jehad
Tunç, Osman
Kaabar, Mohammed K.A.
A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
title A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
title_full A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
title_fullStr A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
title_full_unstemmed A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
title_short A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients
title_sort fractal–fractional covid-19 model with a negative impact of quarantine on the diabetic patients
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9830906/
http://dx.doi.org/10.1016/j.rico.2023.100199
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