Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19

The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the propos...

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Autores principales: Singh, Harendra, Srivastava, H.M., Hammouch, Zakia, Sooppy Nisar, Kottakkaran
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Author(s). Published by Elsevier B.V. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7833007/
https://www.ncbi.nlm.nih.gov/pubmed/33520625
http://dx.doi.org/10.1016/j.rinp.2020.103722
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author Singh, Harendra
Srivastava, H.M.
Hammouch, Zakia
Sooppy Nisar, Kottakkaran
author_facet Singh, Harendra
Srivastava, H.M.
Hammouch, Zakia
Sooppy Nisar, Kottakkaran
author_sort Singh, Harendra
collection PubMed
description The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost.
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spelling pubmed-78330072021-01-26 Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19 Singh, Harendra Srivastava, H.M. Hammouch, Zakia Sooppy Nisar, Kottakkaran Results Phys Article The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost. The Author(s). Published by Elsevier B.V. 2021-01 2020-12-25 /pmc/articles/PMC7833007/ /pubmed/33520625 http://dx.doi.org/10.1016/j.rinp.2020.103722 Text en © 2020 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
Singh, Harendra
Srivastava, H.M.
Hammouch, Zakia
Sooppy Nisar, Kottakkaran
Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19
title Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19
title_full Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19
title_fullStr Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19
title_full_unstemmed Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19
title_short Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19
title_sort numerical simulation and stability analysis for the fractional-order dynamics of covid-19
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7833007/
https://www.ncbi.nlm.nih.gov/pubmed/33520625
http://dx.doi.org/10.1016/j.rinp.2020.103722
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