Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic
In this manuscript, we formulated a new nonlinear SEIQR fractional order pandemic model for the Corona virus disease (COVID-19) with Atangana-Baleanu derivative. Two main equilibrium points [Formula: see text] of the proposed model are stated. Threshold parameter [Formula: see text] for the model us...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8692131/ http://dx.doi.org/10.1016/j.aej.2021.12.042 |
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author | Butt, A.I.K. Ahmad, W. Rafiq, M. Baleanu, D. |
author_facet | Butt, A.I.K. Ahmad, W. Rafiq, M. Baleanu, D. |
author_sort | Butt, A.I.K. |
collection | PubMed |
description | In this manuscript, we formulated a new nonlinear SEIQR fractional order pandemic model for the Corona virus disease (COVID-19) with Atangana-Baleanu derivative. Two main equilibrium points [Formula: see text] of the proposed model are stated. Threshold parameter [Formula: see text] for the model using next generation technique is computed to investigate the future dynamics of the disease. The existence and uniqueness of solution is proved using a fixed point theorem. For the numerical solution of fractional model, we implemented a newly proposed Toufik-Atangana numerical scheme to validate the importance of arbitrary order derivative [Formula: see text] and our obtained theoretical results. It is worth mentioning that fractional order derivative provides much deeper information about the complex dynamics of Corona model. Results obtained through the proposed scheme are dynamically consistent and good in agreement with the analytical results. To draw our conclusions, we explore a complete quantitative analysis of the given model for different quarantine levels. It is claimed through numerical simulations that pandemic could be eradicated faster if a human community selfishly adopts mandatory quarantine measures at various coverage levels with proper awareness. Finally, we have executed the joint variability of all classes to understand the effectiveness of quarantine policy on human population. |
format | Online Article Text |
id | pubmed-8692131 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. |
record_format | MEDLINE/PubMed |
spelling | pubmed-86921312021-12-22 Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic Butt, A.I.K. Ahmad, W. Rafiq, M. Baleanu, D. Alexandria Engineering Journal Article In this manuscript, we formulated a new nonlinear SEIQR fractional order pandemic model for the Corona virus disease (COVID-19) with Atangana-Baleanu derivative. Two main equilibrium points [Formula: see text] of the proposed model are stated. Threshold parameter [Formula: see text] for the model using next generation technique is computed to investigate the future dynamics of the disease. The existence and uniqueness of solution is proved using a fixed point theorem. For the numerical solution of fractional model, we implemented a newly proposed Toufik-Atangana numerical scheme to validate the importance of arbitrary order derivative [Formula: see text] and our obtained theoretical results. It is worth mentioning that fractional order derivative provides much deeper information about the complex dynamics of Corona model. Results obtained through the proposed scheme are dynamically consistent and good in agreement with the analytical results. To draw our conclusions, we explore a complete quantitative analysis of the given model for different quarantine levels. It is claimed through numerical simulations that pandemic could be eradicated faster if a human community selfishly adopts mandatory quarantine measures at various coverage levels with proper awareness. Finally, we have executed the joint variability of all classes to understand the effectiveness of quarantine policy on human population. THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. 2022-09 2021-12-22 /pmc/articles/PMC8692131/ http://dx.doi.org/10.1016/j.aej.2021.12.042 Text en © 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. 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 Butt, A.I.K. Ahmad, W. Rafiq, M. Baleanu, D. Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic |
title | Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic |
title_full | Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic |
title_fullStr | Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic |
title_full_unstemmed | Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic |
title_short | Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic |
title_sort | numerical analysis of atangana-baleanu fractional model to understand the propagation of a novel corona virus pandemic |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8692131/ http://dx.doi.org/10.1016/j.aej.2021.12.042 |
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