The effect of the Caputo fractional difference operator on a new discrete COVID-19 model

This study aims to generalize the discrete integer-order SEIR model to obtain the novel discrete fractional-order SEIR model of COVID-19 and study its dynamic characteristics. Here, we determine the equilibrium points of the model and discuss the stability analysis of these points in detail. Then, t...

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Autores principales: Abbes, Abderrahmane, Ouannas, Adel, Shawagfeh, Nabil, Grassi, Giuseppe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Author(s). Published by Elsevier B.V. 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9259007/
https://www.ncbi.nlm.nih.gov/pubmed/35818497
http://dx.doi.org/10.1016/j.rinp.2022.105797
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author Abbes, Abderrahmane
Ouannas, Adel
Shawagfeh, Nabil
Grassi, Giuseppe
author_facet Abbes, Abderrahmane
Ouannas, Adel
Shawagfeh, Nabil
Grassi, Giuseppe
author_sort Abbes, Abderrahmane
collection PubMed
description This study aims to generalize the discrete integer-order SEIR model to obtain the novel discrete fractional-order SEIR model of COVID-19 and study its dynamic characteristics. Here, we determine the equilibrium points of the model and discuss the stability analysis of these points in detail. Then, the non-linear dynamic behaviors of the suggested discrete fractional model for commensurate and incommensurate fractional orders are investigated through several numerical techniques, including maximum Lyapunov exponents, phase attractors, bifurcation diagrams and [Formula: see text] algorithm. Finally, we fitted the model with actual data to verify the accuracy of our mathematical study of the stability of the fractional discrete COVID-19 model.
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spelling pubmed-92590072022-07-07 The effect of the Caputo fractional difference operator on a new discrete COVID-19 model Abbes, Abderrahmane Ouannas, Adel Shawagfeh, Nabil Grassi, Giuseppe Results Phys Article This study aims to generalize the discrete integer-order SEIR model to obtain the novel discrete fractional-order SEIR model of COVID-19 and study its dynamic characteristics. Here, we determine the equilibrium points of the model and discuss the stability analysis of these points in detail. Then, the non-linear dynamic behaviors of the suggested discrete fractional model for commensurate and incommensurate fractional orders are investigated through several numerical techniques, including maximum Lyapunov exponents, phase attractors, bifurcation diagrams and [Formula: see text] algorithm. Finally, we fitted the model with actual data to verify the accuracy of our mathematical study of the stability of the fractional discrete COVID-19 model. The Author(s). Published by Elsevier B.V. 2022-08 2022-07-06 /pmc/articles/PMC9259007/ /pubmed/35818497 http://dx.doi.org/10.1016/j.rinp.2022.105797 Text en © 2022 The Author(s) 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
Abbes, Abderrahmane
Ouannas, Adel
Shawagfeh, Nabil
Grassi, Giuseppe
The effect of the Caputo fractional difference operator on a new discrete COVID-19 model
title The effect of the Caputo fractional difference operator on a new discrete COVID-19 model
title_full The effect of the Caputo fractional difference operator on a new discrete COVID-19 model
title_fullStr The effect of the Caputo fractional difference operator on a new discrete COVID-19 model
title_full_unstemmed The effect of the Caputo fractional difference operator on a new discrete COVID-19 model
title_short The effect of the Caputo fractional difference operator on a new discrete COVID-19 model
title_sort effect of the caputo fractional difference operator on a new discrete covid-19 model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9259007/
https://www.ncbi.nlm.nih.gov/pubmed/35818497
http://dx.doi.org/10.1016/j.rinp.2022.105797
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