A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis

a mathematical model depicting the spread of covid-19 epidemic and implementation of population covid-19 intervention in Italy. The model has 8 components leading to system of 8 ordinary differential equations. In this paper, we investigate the model using the concept of fractional differential oper...

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Autores principales: Alkahtani, Badr Saad T., Alzaid, Sara Salem
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7298553/
https://www.ncbi.nlm.nih.gov/pubmed/32565623
http://dx.doi.org/10.1016/j.chaos.2020.110006
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author Alkahtani, Badr Saad T.
Alzaid, Sara Salem
author_facet Alkahtani, Badr Saad T.
Alzaid, Sara Salem
author_sort Alkahtani, Badr Saad T.
collection PubMed
description a mathematical model depicting the spread of covid-19 epidemic and implementation of population covid-19 intervention in Italy. The model has 8 components leading to system of 8 ordinary differential equations. In this paper, we investigate the model using the concept of fractional differential operator. A numerical method based on the Lagrange polynomial was used to solve the system equations depicting the spread of COVID-19. A detailed investigation of stability including reproductive number using the next generation matrix, and the Lyapunov were presented in detail. Numerical simulations are depicted for various fractional orders.
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spelling pubmed-72985532020-06-17 A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis Alkahtani, Badr Saad T. Alzaid, Sara Salem Chaos Solitons Fractals Article a mathematical model depicting the spread of covid-19 epidemic and implementation of population covid-19 intervention in Italy. The model has 8 components leading to system of 8 ordinary differential equations. In this paper, we investigate the model using the concept of fractional differential operator. A numerical method based on the Lagrange polynomial was used to solve the system equations depicting the spread of COVID-19. A detailed investigation of stability including reproductive number using the next generation matrix, and the Lyapunov were presented in detail. Numerical simulations are depicted for various fractional orders. Elsevier Ltd. 2020-09 2020-06-17 /pmc/articles/PMC7298553/ /pubmed/32565623 http://dx.doi.org/10.1016/j.chaos.2020.110006 Text en © 2020 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
Alkahtani, Badr Saad T.
Alzaid, Sara Salem
A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis
title A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis
title_full A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis
title_fullStr A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis
title_full_unstemmed A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis
title_short A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis
title_sort novel mathematics model of covid-19 with fractional derivative. stability and numerical analysis
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7298553/
https://www.ncbi.nlm.nih.gov/pubmed/32565623
http://dx.doi.org/10.1016/j.chaos.2020.110006
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