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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2021
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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. |
format | Online Article Text |
id | pubmed-7988648 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT thabetsabritm theoreticalandnumericalanalysisfortransmissiondynamicsofcovid19mathematicalmodelinvolvingcaputofabrizioderivative AT abdomohammeds theoreticalandnumericalanalysisfortransmissiondynamicsofcovid19mathematicalmodelinvolvingcaputofabrizioderivative AT shahkamal theoreticalandnumericalanalysisfortransmissiondynamicsofcovid19mathematicalmodelinvolvingcaputofabrizioderivative |