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Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19
In this manuscript, a fractional order SEIR model with vaccination has been proposed. The positivity and boundedness of the solutions have been verified. The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at disease-free equilibrium point [...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer India
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9412815/ https://www.ncbi.nlm.nih.gov/pubmed/36043055 http://dx.doi.org/10.1007/s40819-022-01411-4 |
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author | Paul, Subrata Mahata, Animesh Mukherjee, Supriya Roy, Banamali Salimi, Mehdi Ahmadian, Ali |
author_facet | Paul, Subrata Mahata, Animesh Mukherjee, Supriya Roy, Banamali Salimi, Mehdi Ahmadian, Ali |
author_sort | Paul, Subrata |
collection | PubMed |
description | In this manuscript, a fractional order SEIR model with vaccination has been proposed. The positivity and boundedness of the solutions have been verified. The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at disease-free equilibrium point [Formula: see text] when [Formula: see text] < 1 and at epidemic equilibrium [Formula: see text] when [Formula: see text] . It has been found that introduction of the vaccination parameter [Formula: see text] reduces the reproduction number [Formula: see text] . The parameters are identified using real-time data from COVID-19 cases in India. To numerically solve the SEIR model with vaccination, the Adam-Bashforth-Moulton technique is used. We employed MATLAB Software (Version 2018a) for graphical presentations and numerical simulations.. It has been observed that the SEIR model with fractional order derivatives of the dynamical variables is much more effective in studying the effect of vaccination than the integral model. |
format | Online Article Text |
id | pubmed-9412815 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Springer India |
record_format | MEDLINE/PubMed |
spelling | pubmed-94128152022-08-26 Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19 Paul, Subrata Mahata, Animesh Mukherjee, Supriya Roy, Banamali Salimi, Mehdi Ahmadian, Ali Int J Appl Comput Math Original Paper In this manuscript, a fractional order SEIR model with vaccination has been proposed. The positivity and boundedness of the solutions have been verified. The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at disease-free equilibrium point [Formula: see text] when [Formula: see text] < 1 and at epidemic equilibrium [Formula: see text] when [Formula: see text] . It has been found that introduction of the vaccination parameter [Formula: see text] reduces the reproduction number [Formula: see text] . The parameters are identified using real-time data from COVID-19 cases in India. To numerically solve the SEIR model with vaccination, the Adam-Bashforth-Moulton technique is used. We employed MATLAB Software (Version 2018a) for graphical presentations and numerical simulations.. It has been observed that the SEIR model with fractional order derivatives of the dynamical variables is much more effective in studying the effect of vaccination than the integral model. Springer India 2022-08-26 2022 /pmc/articles/PMC9412815/ /pubmed/36043055 http://dx.doi.org/10.1007/s40819-022-01411-4 Text en © The Author(s), under exclusive licence to Springer Nature India Private Limited 2022, Springer Nature or its licensor 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 Paper Paul, Subrata Mahata, Animesh Mukherjee, Supriya Roy, Banamali Salimi, Mehdi Ahmadian, Ali Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19 |
title | Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19 |
title_full | Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19 |
title_fullStr | Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19 |
title_full_unstemmed | Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19 |
title_short | Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19 |
title_sort | study of fractional order seir epidemic model and effect of vaccination on the spread of covid-19 |
topic | Original Paper |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9412815/ https://www.ncbi.nlm.nih.gov/pubmed/36043055 http://dx.doi.org/10.1007/s40819-022-01411-4 |
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