On nonlinear classical and fractional order dynamical system addressing COVID-19

This work studies a new SEIR type mathematical model for SARS-CoV-2. We show how immigration, protection, death rate, exposure, cure rate and interaction of infected people with healthy people affect the population. Our model has four classes including susceptible, exposed, infected and recovered re...

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Detalles Bibliográficos
Autores principales: Shah, Kamal, Din, Rahim Ud, Deebani, Wejdan, Kumam, Poom, Shah, Zahir
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/PMC7985623/
https://www.ncbi.nlm.nih.gov/pubmed/33777668
http://dx.doi.org/10.1016/j.rinp.2021.104069
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author Shah, Kamal
Din, Rahim Ud
Deebani, Wejdan
Kumam, Poom
Shah, Zahir
author_facet Shah, Kamal
Din, Rahim Ud
Deebani, Wejdan
Kumam, Poom
Shah, Zahir
author_sort Shah, Kamal
collection PubMed
description This work studies a new SEIR type mathematical model for SARS-CoV-2. We show how immigration, protection, death rate, exposure, cure rate and interaction of infected people with healthy people affect the population. Our model has four classes including susceptible, exposed, infected and recovered respectively. Here, we find the basic reproduction number and local stability through jacobean matrix. Lyapunov function theory is used to calculate the global stability for the problem under investigation. Also an attempt is made to derive some numerical interpretation under fractional derivative by using fractional order nonstandard finite difference (NSFD) sachem. The graphical presentations are given for some real data.
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spelling pubmed-79856232021-03-23 On nonlinear classical and fractional order dynamical system addressing COVID-19 Shah, Kamal Din, Rahim Ud Deebani, Wejdan Kumam, Poom Shah, Zahir Results Phys Article This work studies a new SEIR type mathematical model for SARS-CoV-2. We show how immigration, protection, death rate, exposure, cure rate and interaction of infected people with healthy people affect the population. Our model has four classes including susceptible, exposed, infected and recovered respectively. Here, we find the basic reproduction number and local stability through jacobean matrix. Lyapunov function theory is used to calculate the global stability for the problem under investigation. Also an attempt is made to derive some numerical interpretation under fractional derivative by using fractional order nonstandard finite difference (NSFD) sachem. The graphical presentations are given for some real data. The Author(s). Published by Elsevier B.V. 2021-05 2021-03-23 /pmc/articles/PMC7985623/ /pubmed/33777668 http://dx.doi.org/10.1016/j.rinp.2021.104069 Text en © 2021 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
Shah, Kamal
Din, Rahim Ud
Deebani, Wejdan
Kumam, Poom
Shah, Zahir
On nonlinear classical and fractional order dynamical system addressing COVID-19
title On nonlinear classical and fractional order dynamical system addressing COVID-19
title_full On nonlinear classical and fractional order dynamical system addressing COVID-19
title_fullStr On nonlinear classical and fractional order dynamical system addressing COVID-19
title_full_unstemmed On nonlinear classical and fractional order dynamical system addressing COVID-19
title_short On nonlinear classical and fractional order dynamical system addressing COVID-19
title_sort on nonlinear classical and fractional order dynamical system addressing covid-19
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7985623/
https://www.ncbi.nlm.nih.gov/pubmed/33777668
http://dx.doi.org/10.1016/j.rinp.2021.104069
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