Impact of quarantine on fractional order dynamical model of Covid-19

In this paper, a Covid-19 dynamical transmission model of a coupled non-linear fractional differential equation in the Atangana-Baleanu Caputo sense is proposed. The basic dynamical transmission features of the proposed system are briefly discussed. The qualitative as well as quantitative results on...

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Autores principales: Singh, Ram, Tiwari, Prayag, Band, Shahab S., Rehman, Attiq U., Mahajan, Shubham, Ding, Yijie, Liu, Xiaobin, Pandit, Amit Kant
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Author(s). Published by Elsevier Ltd. 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9660264/
https://www.ncbi.nlm.nih.gov/pubmed/36395591
http://dx.doi.org/10.1016/j.compbiomed.2022.106266
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author Singh, Ram
Tiwari, Prayag
Band, Shahab S.
Rehman, Attiq U.
Mahajan, Shubham
Ding, Yijie
Liu, Xiaobin
Pandit, Amit Kant
author_facet Singh, Ram
Tiwari, Prayag
Band, Shahab S.
Rehman, Attiq U.
Mahajan, Shubham
Ding, Yijie
Liu, Xiaobin
Pandit, Amit Kant
author_sort Singh, Ram
collection PubMed
description In this paper, a Covid-19 dynamical transmission model of a coupled non-linear fractional differential equation in the Atangana-Baleanu Caputo sense is proposed. The basic dynamical transmission features of the proposed system are briefly discussed. The qualitative as well as quantitative results on the existence and uniqueness of the solutions are evaluated through the fixed point theorem. The Ulam-Hyers stability analysis of the suggested system is established. The two-step Adams-Bashforth-Moulton (ABM) numerical method is employed to find its numerical solution. The numerical simulation is performed to accesses the impact of various biological parameters on the dynamics of Covid-19 disease.
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spelling pubmed-96602642022-11-14 Impact of quarantine on fractional order dynamical model of Covid-19 Singh, Ram Tiwari, Prayag Band, Shahab S. Rehman, Attiq U. Mahajan, Shubham Ding, Yijie Liu, Xiaobin Pandit, Amit Kant Comput Biol Med Article In this paper, a Covid-19 dynamical transmission model of a coupled non-linear fractional differential equation in the Atangana-Baleanu Caputo sense is proposed. The basic dynamical transmission features of the proposed system are briefly discussed. The qualitative as well as quantitative results on the existence and uniqueness of the solutions are evaluated through the fixed point theorem. The Ulam-Hyers stability analysis of the suggested system is established. The two-step Adams-Bashforth-Moulton (ABM) numerical method is employed to find its numerical solution. The numerical simulation is performed to accesses the impact of various biological parameters on the dynamics of Covid-19 disease. The Author(s). Published by Elsevier Ltd. 2022-12 2022-11-09 /pmc/articles/PMC9660264/ /pubmed/36395591 http://dx.doi.org/10.1016/j.compbiomed.2022.106266 Text en © 2022 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, Ram
Tiwari, Prayag
Band, Shahab S.
Rehman, Attiq U.
Mahajan, Shubham
Ding, Yijie
Liu, Xiaobin
Pandit, Amit Kant
Impact of quarantine on fractional order dynamical model of Covid-19
title Impact of quarantine on fractional order dynamical model of Covid-19
title_full Impact of quarantine on fractional order dynamical model of Covid-19
title_fullStr Impact of quarantine on fractional order dynamical model of Covid-19
title_full_unstemmed Impact of quarantine on fractional order dynamical model of Covid-19
title_short Impact of quarantine on fractional order dynamical model of Covid-19
title_sort impact of quarantine on fractional order dynamical model of covid-19
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9660264/
https://www.ncbi.nlm.nih.gov/pubmed/36395591
http://dx.doi.org/10.1016/j.compbiomed.2022.106266
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