Dynamics of SIQR epidemic model with fractional order derivative

The dynamics of COVID-19 (Coronavirus Disease-2019) transmission are described using a fractional order SIQR model. The stability analysis of the model is performed. To obtain semi-analytic solutions to the model, the Iterative Laplace Transform Method [ILTM] is implemented. Real-time data from COVI...

Descripción completa

Detalles Bibliográficos
Autores principales: Paul, Subrata, Mahata, Animesh, Mukherjee, Supriya, Roy, Banamali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Authors. Published by Elsevier B.V. 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8675207/
http://dx.doi.org/10.1016/j.padiff.2021.100216
_version_ 1784615834448035840
author Paul, Subrata
Mahata, Animesh
Mukherjee, Supriya
Roy, Banamali
author_facet Paul, Subrata
Mahata, Animesh
Mukherjee, Supriya
Roy, Banamali
author_sort Paul, Subrata
collection PubMed
description The dynamics of COVID-19 (Coronavirus Disease-2019) transmission are described using a fractional order SIQR model. The stability analysis of the model is performed. To obtain semi-analytic solutions to the model, the Iterative Laplace Transform Method [ILTM] is implemented. Real-time data from COVID-19 cases in India and Brazil is employed to estimate the parameters of the fractional order SIQR model. Numerical solutions obtained using Adam–Bashforth–Moultonpredictor–corrector technique is compared with those obtained by ILTM. It is observed that the fractional order of the derivatives is more effective in studying the dynamics of the spread of COVID-19 in comparison to integral order of the SIQR model.
format Online
Article
Text
id pubmed-8675207
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher The Authors. Published by Elsevier B.V.
record_format MEDLINE/PubMed
spelling pubmed-86752072021-12-17 Dynamics of SIQR epidemic model with fractional order derivative Paul, Subrata Mahata, Animesh Mukherjee, Supriya Roy, Banamali Partial Differential Equations in Applied Mathematics Article The dynamics of COVID-19 (Coronavirus Disease-2019) transmission are described using a fractional order SIQR model. The stability analysis of the model is performed. To obtain semi-analytic solutions to the model, the Iterative Laplace Transform Method [ILTM] is implemented. Real-time data from COVID-19 cases in India and Brazil is employed to estimate the parameters of the fractional order SIQR model. Numerical solutions obtained using Adam–Bashforth–Moultonpredictor–corrector technique is compared with those obtained by ILTM. It is observed that the fractional order of the derivatives is more effective in studying the dynamics of the spread of COVID-19 in comparison to integral order of the SIQR model. The Authors. Published by Elsevier B.V. 2022-06 2021-12-16 /pmc/articles/PMC8675207/ http://dx.doi.org/10.1016/j.padiff.2021.100216 Text en © 2021 The Authors 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
Paul, Subrata
Mahata, Animesh
Mukherjee, Supriya
Roy, Banamali
Dynamics of SIQR epidemic model with fractional order derivative
title Dynamics of SIQR epidemic model with fractional order derivative
title_full Dynamics of SIQR epidemic model with fractional order derivative
title_fullStr Dynamics of SIQR epidemic model with fractional order derivative
title_full_unstemmed Dynamics of SIQR epidemic model with fractional order derivative
title_short Dynamics of SIQR epidemic model with fractional order derivative
title_sort dynamics of siqr epidemic model with fractional order derivative
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8675207/
http://dx.doi.org/10.1016/j.padiff.2021.100216
work_keys_str_mv AT paulsubrata dynamicsofsiqrepidemicmodelwithfractionalorderderivative
AT mahataanimesh dynamicsofsiqrepidemicmodelwithfractionalorderderivative
AT mukherjeesupriya dynamicsofsiqrepidemicmodelwithfractionalorderderivative
AT roybanamali dynamicsofsiqrepidemicmodelwithfractionalorderderivative

Ejemplares similares