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Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative

This manuscript is devoted to a study of the existence and uniqueness of solutions to a mathematical model addressing the transmission dynamics of the coronavirus-19 infectious disease (COVID-19). The mentioned model is considered with a nonsingular kernel type derivative given by Caputo–Fabrizo wit...

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Detalles Bibliográficos
Autores principales: Thabet, Sabri T. M., Abdo, Mohammed S., Shah, Kamal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7988648/
https://www.ncbi.nlm.nih.gov/pubmed/33777126
http://dx.doi.org/10.1186/s13662-021-03316-w
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author Thabet, Sabri T. M.
Abdo, Mohammed S.
Shah, Kamal
author_facet Thabet, Sabri T. M.
Abdo, Mohammed S.
Shah, Kamal
author_sort Thabet, Sabri T. M.
collection PubMed
description This manuscript is devoted to a study of the existence and uniqueness of solutions to a mathematical model addressing the transmission dynamics of the coronavirus-19 infectious disease (COVID-19). The mentioned model is considered with a nonsingular kernel type derivative given by Caputo–Fabrizo with fractional order. For the required results of the existence and uniqueness of solution to the proposed model, Picard’s iterative method is applied. Furthermore, to investigate approximate solutions to the proposed model, we utilize the Laplace transform and Adomian’s decomposition (LADM). Some graphical presentations are given for different fractional orders for various compartments of the model under consideration.
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spelling pubmed-79886482021-03-24 Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative Thabet, Sabri T. M. Abdo, Mohammed S. Shah, Kamal Adv Differ Equ Research This manuscript is devoted to a study of the existence and uniqueness of solutions to a mathematical model addressing the transmission dynamics of the coronavirus-19 infectious disease (COVID-19). The mentioned model is considered with a nonsingular kernel type derivative given by Caputo–Fabrizo with fractional order. For the required results of the existence and uniqueness of solution to the proposed model, Picard’s iterative method is applied. Furthermore, to investigate approximate solutions to the proposed model, we utilize the Laplace transform and Adomian’s decomposition (LADM). Some graphical presentations are given for different fractional orders for various compartments of the model under consideration. Springer International Publishing 2021-03-24 2021 /pmc/articles/PMC7988648/ /pubmed/33777126 http://dx.doi.org/10.1186/s13662-021-03316-w Text en © The Author(s) 2021 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/.
spellingShingle Research
Thabet, Sabri T. M.
Abdo, Mohammed S.
Shah, Kamal
Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative
title Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative
title_full Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative
title_fullStr Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative
title_full_unstemmed Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative
title_short Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative
title_sort theoretical and numerical analysis for transmission dynamics of covid-19 mathematical model involving caputo–fabrizio derivative
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7988648/
https://www.ncbi.nlm.nih.gov/pubmed/33777126
http://dx.doi.org/10.1186/s13662-021-03316-w
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