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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Detalles Bibliográficos
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
Descripción
Sumario: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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