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A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains

It has been reported that there are seven different types of coronaviruses realized by individuals, containing those responsible for the SARS, MERS, and COVID-19 epidemics. Nowadays, numerous designs of COVID-19 are investigated using different operators of fractional calculus. Most of these mathema...

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Detalles Bibliográficos
Autores principales: Aldawish, Ibtisam, Ibrahim, Rabha W.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8777456/
https://www.ncbi.nlm.nih.gov/pubmed/35450202
http://dx.doi.org/10.1186/s13662-022-03677-w
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author Aldawish, Ibtisam
Ibrahim, Rabha W.
author_facet Aldawish, Ibtisam
Ibrahim, Rabha W.
author_sort Aldawish, Ibtisam
collection PubMed
description It has been reported that there are seven different types of coronaviruses realized by individuals, containing those responsible for the SARS, MERS, and COVID-19 epidemics. Nowadays, numerous designs of COVID-19 are investigated using different operators of fractional calculus. Most of these mathematical models describe only one type of COVID-19 (infected and asymptomatic). In this study, we aim to present an altered growth of two or more types of COVID-19. Our technique is based on the ABC-fractional derivative operator. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion between infected and asymptomatic people. The consequence is accordingly connected with a macroscopic rule for the individuals. In this analysis, we utilize the concept of a fractional chain. This type of chain is a fractional differential–difference equation combining continuous and discrete variables. The existence of solutions is recognized by formulating a matrix theory. The solution of the approximated system is shown to have a minimax point at the origin.
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spelling pubmed-87774562022-01-21 A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains Aldawish, Ibtisam Ibrahim, Rabha W. Adv Cont Discr Mod Research It has been reported that there are seven different types of coronaviruses realized by individuals, containing those responsible for the SARS, MERS, and COVID-19 epidemics. Nowadays, numerous designs of COVID-19 are investigated using different operators of fractional calculus. Most of these mathematical models describe only one type of COVID-19 (infected and asymptomatic). In this study, we aim to present an altered growth of two or more types of COVID-19. Our technique is based on the ABC-fractional derivative operator. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion between infected and asymptomatic people. The consequence is accordingly connected with a macroscopic rule for the individuals. In this analysis, we utilize the concept of a fractional chain. This type of chain is a fractional differential–difference equation combining continuous and discrete variables. The existence of solutions is recognized by formulating a matrix theory. The solution of the approximated system is shown to have a minimax point at the origin. Springer International Publishing 2022-01-21 2022 /pmc/articles/PMC8777456/ /pubmed/35450202 http://dx.doi.org/10.1186/s13662-022-03677-w Text en © The Author(s) 2022 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
Aldawish, Ibtisam
Ibrahim, Rabha W.
A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains
title A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains
title_full A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains
title_fullStr A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains
title_full_unstemmed A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains
title_short A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains
title_sort new mathematical model of multi-faced covid-19 formulated by fractional derivative chains
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8777456/
https://www.ncbi.nlm.nih.gov/pubmed/35450202
http://dx.doi.org/10.1186/s13662-022-03677-w
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