Dynamics of Caputo Fractional Order SEIRV Epidemic Model with Optimal Control and Stability Analysis

In mid-March 2020, the World Health Organization declared COVID-19, a worldwide public health emergency. This paper presents a study of an SEIRV epidemic model with optimal control in the context of the Caputo fractional derivative of order [Formula: see text] . The stability analysis of the model i...

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Autores principales: Mahata, Animesh, Paul, Subrata, Mukherjee, Supriya, Das, Meghadri, Roy, Banamali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer India 2022
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8761852/
https://www.ncbi.nlm.nih.gov/pubmed/35071697
http://dx.doi.org/10.1007/s40819-021-01224-x
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author Mahata, Animesh
Paul, Subrata
Mukherjee, Supriya
Das, Meghadri
Roy, Banamali
author_facet Mahata, Animesh
Paul, Subrata
Mukherjee, Supriya
Das, Meghadri
Roy, Banamali
author_sort Mahata, Animesh
collection PubMed
description In mid-March 2020, the World Health Organization declared COVID-19, a worldwide public health emergency. This paper presents a study of an SEIRV epidemic model with optimal control in the context of the Caputo fractional derivative of order [Formula: see text] . The stability analysis of the model is performed. We also present an optimum control scheme for an SEIRV model. The real time data for India COVID-19 cases have been used to determine the parameters of the fractional order SEIRV model. The Adam-Bashforth-Moulton predictor–corrector method is implemented to solve the SEIRV model numerically. For analyzing COVID-19 transmission dynamics, the fractional order of the SEIRV model is found to be better than the integral order. Graphical demonstration and numerical simulations are presented using MATLAB (2018a) software.
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spelling pubmed-87618522022-01-18 Dynamics of Caputo Fractional Order SEIRV Epidemic Model with Optimal Control and Stability Analysis Mahata, Animesh Paul, Subrata Mukherjee, Supriya Das, Meghadri Roy, Banamali Int J Appl Comput Math Original Paper In mid-March 2020, the World Health Organization declared COVID-19, a worldwide public health emergency. This paper presents a study of an SEIRV epidemic model with optimal control in the context of the Caputo fractional derivative of order [Formula: see text] . The stability analysis of the model is performed. We also present an optimum control scheme for an SEIRV model. The real time data for India COVID-19 cases have been used to determine the parameters of the fractional order SEIRV model. The Adam-Bashforth-Moulton predictor–corrector method is implemented to solve the SEIRV model numerically. For analyzing COVID-19 transmission dynamics, the fractional order of the SEIRV model is found to be better than the integral order. Graphical demonstration and numerical simulations are presented using MATLAB (2018a) software. Springer India 2022-01-17 2022 /pmc/articles/PMC8761852/ /pubmed/35071697 http://dx.doi.org/10.1007/s40819-021-01224-x Text en © The Author(s), under exclusive licence to Springer Nature India Private Limited 2022 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 Paper
Mahata, Animesh
Paul, Subrata
Mukherjee, Supriya
Das, Meghadri
Roy, Banamali
Dynamics of Caputo Fractional Order SEIRV Epidemic Model with Optimal Control and Stability Analysis
title Dynamics of Caputo Fractional Order SEIRV Epidemic Model with Optimal Control and Stability Analysis
title_full Dynamics of Caputo Fractional Order SEIRV Epidemic Model with Optimal Control and Stability Analysis
title_fullStr Dynamics of Caputo Fractional Order SEIRV Epidemic Model with Optimal Control and Stability Analysis
title_full_unstemmed Dynamics of Caputo Fractional Order SEIRV Epidemic Model with Optimal Control and Stability Analysis
title_short Dynamics of Caputo Fractional Order SEIRV Epidemic Model with Optimal Control and Stability Analysis
title_sort dynamics of caputo fractional order seirv epidemic model with optimal control and stability analysis
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8761852/
https://www.ncbi.nlm.nih.gov/pubmed/35071697
http://dx.doi.org/10.1007/s40819-021-01224-x
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