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Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative
This manuscript addressing the dynamics of fractal-fractional type modified SEIR model under Atangana-Baleanu Caputo (ABC) derivative of fractional order [Formula: see text] and fractal dimension [Formula: see text] for the available data in Pakistan. The proposed model has been investigated for qua...
Autores principales: | , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Author(s). Published by Elsevier B.V.
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8044634/ https://www.ncbi.nlm.nih.gov/pubmed/33868907 http://dx.doi.org/10.1016/j.rinp.2021.104046 |
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author | Arfan, Muhammad Alrabaiah, Hussam Rahman, Mati Ur Sun, Yu-Liang Hashim, Ahmad Sobri Pansera, Bruno A. Ahmadian, Ali Salahshour, Soheil |
author_facet | Arfan, Muhammad Alrabaiah, Hussam Rahman, Mati Ur Sun, Yu-Liang Hashim, Ahmad Sobri Pansera, Bruno A. Ahmadian, Ali Salahshour, Soheil |
author_sort | Arfan, Muhammad |
collection | PubMed |
description | This manuscript addressing the dynamics of fractal-fractional type modified SEIR model under Atangana-Baleanu Caputo (ABC) derivative of fractional order [Formula: see text] and fractal dimension [Formula: see text] for the available data in Pakistan. The proposed model has been investigated for qualitative analysis by applying the theory of non-linear functional analysis along with fixed point theory. The fractional Adams–bashforth iterative techniques have been applied for the numerical solution of the said model. The Ulam-Hyers (UH) stability techniques have been derived for the stability of the considered model. The simulation of all compartments has been drawn against the available data of covid-19 in Pakistan. The whole study of this manuscript illustrates that control of the effective transmission rate is necessary for stoping the transmission of the outbreak. This means that everyone in the society must change their behavior towards self-protection by keeping most of the precautionary measures sufficient for controlling covid-19. |
format | Online Article Text |
id | pubmed-8044634 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | The Author(s). Published by Elsevier B.V. |
record_format | MEDLINE/PubMed |
spelling | pubmed-80446342021-04-14 Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative Arfan, Muhammad Alrabaiah, Hussam Rahman, Mati Ur Sun, Yu-Liang Hashim, Ahmad Sobri Pansera, Bruno A. Ahmadian, Ali Salahshour, Soheil Results Phys Article This manuscript addressing the dynamics of fractal-fractional type modified SEIR model under Atangana-Baleanu Caputo (ABC) derivative of fractional order [Formula: see text] and fractal dimension [Formula: see text] for the available data in Pakistan. The proposed model has been investigated for qualitative analysis by applying the theory of non-linear functional analysis along with fixed point theory. The fractional Adams–bashforth iterative techniques have been applied for the numerical solution of the said model. The Ulam-Hyers (UH) stability techniques have been derived for the stability of the considered model. The simulation of all compartments has been drawn against the available data of covid-19 in Pakistan. The whole study of this manuscript illustrates that control of the effective transmission rate is necessary for stoping the transmission of the outbreak. This means that everyone in the society must change their behavior towards self-protection by keeping most of the precautionary measures sufficient for controlling covid-19. The Author(s). Published by Elsevier B.V. 2021-05 2021-03-22 /pmc/articles/PMC8044634/ /pubmed/33868907 http://dx.doi.org/10.1016/j.rinp.2021.104046 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 Arfan, Muhammad Alrabaiah, Hussam Rahman, Mati Ur Sun, Yu-Liang Hashim, Ahmad Sobri Pansera, Bruno A. Ahmadian, Ali Salahshour, Soheil Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative |
title | Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative |
title_full | Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative |
title_fullStr | Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative |
title_full_unstemmed | Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative |
title_short | Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative |
title_sort | investigation of fractal-fractional order model of covid-19 in pakistan under atangana-baleanu caputo (abc) derivative |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8044634/ https://www.ncbi.nlm.nih.gov/pubmed/33868907 http://dx.doi.org/10.1016/j.rinp.2021.104046 |
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