Dynamics of a fractional COVID-19 model with immunity using harmonic incidence mean-type

The transmission dynamics of COVID-19 is investigated through the prism of the Atangana-Baleanu fractional model with acquired immunity. Harmonic incidence mean-type aims to drive exposed and infected populations towards extinction in a finite time frame. The reproduction number is calculated based...

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Detalles Bibliográficos
Autores principales: Mohankumar, Nandhini, Rajagopal, Lavanya
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Original Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10231860/
https://www.ncbi.nlm.nih.gov/pubmed/37361055
http://dx.doi.org/10.1007/s12190-023-01877-5
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author Mohankumar, Nandhini
Rajagopal, Lavanya
author_facet Mohankumar, Nandhini
Rajagopal, Lavanya
author_sort Mohankumar, Nandhini
collection PubMed
description The transmission dynamics of COVID-19 is investigated through the prism of the Atangana-Baleanu fractional model with acquired immunity. Harmonic incidence mean-type aims to drive exposed and infected populations towards extinction in a finite time frame. The reproduction number is calculated based on the next-generation matrix. A disease-free equilibrium point can be achieved globally using the Castillo-Chavez approach. Using the additive compound matrix approach, the global stability of endemic equilibrium can be demonstrated. Utilizing Pontryagin’s maximum principle, we introduce three control variables to obtain the optimal control strategies. Laplace transform allows simulating the fractional-order derivatives analytically. Analysis of the graphical results led to a better understanding of the transmission dynamics.
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spelling pubmed-102318602023-06-01 Dynamics of a fractional COVID-19 model with immunity using harmonic incidence mean-type Mohankumar, Nandhini Rajagopal, Lavanya J Appl Math Comput Original Research The transmission dynamics of COVID-19 is investigated through the prism of the Atangana-Baleanu fractional model with acquired immunity. Harmonic incidence mean-type aims to drive exposed and infected populations towards extinction in a finite time frame. The reproduction number is calculated based on the next-generation matrix. A disease-free equilibrium point can be achieved globally using the Castillo-Chavez approach. Using the additive compound matrix approach, the global stability of endemic equilibrium can be demonstrated. Utilizing Pontryagin’s maximum principle, we introduce three control variables to obtain the optimal control strategies. Laplace transform allows simulating the fractional-order derivatives analytically. Analysis of the graphical results led to a better understanding of the transmission dynamics. Springer Berlin Heidelberg 2023-05-31 /pmc/articles/PMC10231860/ /pubmed/37361055 http://dx.doi.org/10.1007/s12190-023-01877-5 Text en © The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Research
Mohankumar, Nandhini
Rajagopal, Lavanya
Dynamics of a fractional COVID-19 model with immunity using harmonic incidence mean-type
title Dynamics of a fractional COVID-19 model with immunity using harmonic incidence mean-type
title_full Dynamics of a fractional COVID-19 model with immunity using harmonic incidence mean-type
title_fullStr Dynamics of a fractional COVID-19 model with immunity using harmonic incidence mean-type
title_full_unstemmed Dynamics of a fractional COVID-19 model with immunity using harmonic incidence mean-type
title_short Dynamics of a fractional COVID-19 model with immunity using harmonic incidence mean-type
title_sort dynamics of a fractional covid-19 model with immunity using harmonic incidence mean-type
topic Original Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10231860/
https://www.ncbi.nlm.nih.gov/pubmed/37361055
http://dx.doi.org/10.1007/s12190-023-01877-5
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AT rajagopallavanya dynamicsofafractionalcovid19modelwithimmunityusingharmonicincidencemeantype

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