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A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms

The main purpose of this paper is to provide new vaccinated models of COVID-19 in the sense of Caputo-Fabrizio and new generalized Caputo-type fractional derivatives. The formulation of the given models is presented including an exhaustive study of the model dynamics such as positivity, boundedness...

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Autores principales: Zeb, Anwar, Kumar, Pushpendra, Erturk, Vedat Suat, Sitthiwirattham, Thanin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Author(s). Published by Elsevier B.V. on behalf of King Saud University. 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8851876/
https://www.ncbi.nlm.nih.gov/pubmed/35194351
http://dx.doi.org/10.1016/j.jksus.2022.101914
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author Zeb, Anwar
Kumar, Pushpendra
Erturk, Vedat Suat
Sitthiwirattham, Thanin
author_facet Zeb, Anwar
Kumar, Pushpendra
Erturk, Vedat Suat
Sitthiwirattham, Thanin
author_sort Zeb, Anwar
collection PubMed
description The main purpose of this paper is to provide new vaccinated models of COVID-19 in the sense of Caputo-Fabrizio and new generalized Caputo-type fractional derivatives. The formulation of the given models is presented including an exhaustive study of the model dynamics such as positivity, boundedness of the solutions and local stability analysis. Furthermore, the unique solution existence for the proposed fractional order models is discussed via fixed point theory. Numerical solutions are also derived by using two-steps Adams-Bashforth algorithm for Caputo-Fabrizio operator, and modified Predictor-Corrector method for generalised Caputo fractional derivative. Our analysis allow to show that the given fractional-order models exemplify the dynamics of COVID-19 much better than the classical ones. Also, the analysis on the convergence and stability for the proposed methods are performed. By this study, we see that how the vaccine availability plays an important role in the control of COVID-19 infection.
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spelling pubmed-88518762022-02-18 A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms Zeb, Anwar Kumar, Pushpendra Erturk, Vedat Suat Sitthiwirattham, Thanin J King Saud Univ Sci Original Article The main purpose of this paper is to provide new vaccinated models of COVID-19 in the sense of Caputo-Fabrizio and new generalized Caputo-type fractional derivatives. The formulation of the given models is presented including an exhaustive study of the model dynamics such as positivity, boundedness of the solutions and local stability analysis. Furthermore, the unique solution existence for the proposed fractional order models is discussed via fixed point theory. Numerical solutions are also derived by using two-steps Adams-Bashforth algorithm for Caputo-Fabrizio operator, and modified Predictor-Corrector method for generalised Caputo fractional derivative. Our analysis allow to show that the given fractional-order models exemplify the dynamics of COVID-19 much better than the classical ones. Also, the analysis on the convergence and stability for the proposed methods are performed. By this study, we see that how the vaccine availability plays an important role in the control of COVID-19 infection. The Author(s). Published by Elsevier B.V. on behalf of King Saud University. 2022-02-17 /pmc/articles/PMC8851876/ /pubmed/35194351 http://dx.doi.org/10.1016/j.jksus.2022.101914 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 Original Article
Zeb, Anwar
Kumar, Pushpendra
Erturk, Vedat Suat
Sitthiwirattham, Thanin
A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
title A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
title_full A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
title_fullStr A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
title_full_unstemmed A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
title_short A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
title_sort new study on two different vaccinated fractional-order covid-19 models via numerical algorithms
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8851876/
https://www.ncbi.nlm.nih.gov/pubmed/35194351
http://dx.doi.org/10.1016/j.jksus.2022.101914
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