On the solution of fractional order SIS epidemic model

We consider the fractional order epidemic model based on assumption that people will recover after disease and may be infected again on a time interval of non fatal disease. Our mathematical formulation is based on the fractional Caputo derivative. The existence and uniqueness of the solution is dis...

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Detalles Bibliográficos
Autores principales: Hassouna, M., Ouhadan, A., El Kinani, E.H.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7125670/
https://www.ncbi.nlm.nih.gov/pubmed/32288355
http://dx.doi.org/10.1016/j.chaos.2018.10.023
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author Hassouna, M.
Ouhadan, A.
El Kinani, E.H.
author_facet Hassouna, M.
Ouhadan, A.
El Kinani, E.H.
author_sort Hassouna, M.
collection PubMed
description We consider the fractional order epidemic model based on assumption that people will recover after disease and may be infected again on a time interval of non fatal disease. Our mathematical formulation is based on the fractional Caputo derivative. The existence and uniqueness of the solution is discussed. Furthermore, numerical solution is studied by variational iteration method and Euler method. Consequently, some numerical results are presented within.
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spelling pubmed-71256702020-04-08 On the solution of fractional order SIS epidemic model Hassouna, M. Ouhadan, A. El Kinani, E.H. Chaos Solitons Fractals Article We consider the fractional order epidemic model based on assumption that people will recover after disease and may be infected again on a time interval of non fatal disease. Our mathematical formulation is based on the fractional Caputo derivative. The existence and uniqueness of the solution is discussed. Furthermore, numerical solution is studied by variational iteration method and Euler method. Consequently, some numerical results are presented within. Elsevier Ltd. 2018-12 2018-10-25 /pmc/articles/PMC7125670/ /pubmed/32288355 http://dx.doi.org/10.1016/j.chaos.2018.10.023 Text en © 2018 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
Hassouna, M.
Ouhadan, A.
El Kinani, E.H.
On the solution of fractional order SIS epidemic model
title On the solution of fractional order SIS epidemic model
title_full On the solution of fractional order SIS epidemic model
title_fullStr On the solution of fractional order SIS epidemic model
title_full_unstemmed On the solution of fractional order SIS epidemic model
title_short On the solution of fractional order SIS epidemic model
title_sort on the solution of fractional order sis epidemic model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7125670/
https://www.ncbi.nlm.nih.gov/pubmed/32288355
http://dx.doi.org/10.1016/j.chaos.2018.10.023
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