Stability analysis of fractional order model on corona transmission dynamics

In this paper a fractional order mathematical model is constructed to study the dynamics of corona virus in Oman. The model consists of a system of eight non-linear fractional order differential equations in Caputo sense. Existence and uniqueness as well as the stability analysis of the solution of...

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Autores principales: Hincal, Evren, Alsaadi, Sultan Hamed
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834460/
https://www.ncbi.nlm.nih.gov/pubmed/33519120
http://dx.doi.org/10.1016/j.chaos.2020.110628
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author Hincal, Evren
Alsaadi, Sultan Hamed
author_facet Hincal, Evren
Alsaadi, Sultan Hamed
author_sort Hincal, Evren
collection PubMed
description In this paper a fractional order mathematical model is constructed to study the dynamics of corona virus in Oman. The model consists of a system of eight non-linear fractional order differential equations in Caputo sense. Existence and uniqueness as well as the stability analysis of the solution of the model are given. The stability analysis is in the frame of Ulam-Hyers and generalized Ulam-Hyers criteria. Numerical simulations are given to support the theoretical results. Many informations on the dynamics of COVID -19 in Oman were obtained using this model. Also many informations on the qualitative behaviour of the model were obtained.
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spelling pubmed-78344602021-01-26 Stability analysis of fractional order model on corona transmission dynamics Hincal, Evren Alsaadi, Sultan Hamed Chaos Solitons Fractals Article In this paper a fractional order mathematical model is constructed to study the dynamics of corona virus in Oman. The model consists of a system of eight non-linear fractional order differential equations in Caputo sense. Existence and uniqueness as well as the stability analysis of the solution of the model are given. The stability analysis is in the frame of Ulam-Hyers and generalized Ulam-Hyers criteria. Numerical simulations are given to support the theoretical results. Many informations on the dynamics of COVID -19 in Oman were obtained using this model. Also many informations on the qualitative behaviour of the model were obtained. Elsevier Ltd. 2021-02 2021-01-12 /pmc/articles/PMC7834460/ /pubmed/33519120 http://dx.doi.org/10.1016/j.chaos.2020.110628 Text en © 2021 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 Article
Hincal, Evren
Alsaadi, Sultan Hamed
Stability analysis of fractional order model on corona transmission dynamics
title Stability analysis of fractional order model on corona transmission dynamics
title_full Stability analysis of fractional order model on corona transmission dynamics
title_fullStr Stability analysis of fractional order model on corona transmission dynamics
title_full_unstemmed Stability analysis of fractional order model on corona transmission dynamics
title_short Stability analysis of fractional order model on corona transmission dynamics
title_sort stability analysis of fractional order model on corona transmission dynamics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834460/
https://www.ncbi.nlm.nih.gov/pubmed/33519120
http://dx.doi.org/10.1016/j.chaos.2020.110628
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AT alsaadisultanhamed stabilityanalysisoffractionalordermodeloncoronatransmissiondynamics

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