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A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination

Author

Listed:
  • Meghadri Das

    (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India)

  • Guruprasad Samanta

    (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India)

  • Manuel De la Sen

    (Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Spain)

Abstract

The primary goal of this research is to investigate COVID-19 transmission patterns in West Bengal, India in 2021; the first Coronavirus illness (COVID-19) in West Bengal was revealed on 17 March 2020. We employed the modified Susceptible-Asymptomatic-Vaccinated-Comorbidity-Infectious-Recovered (SAVICR) compartmental model as part of fractional orders because of the uncertainty created by the limited Coronavirus (COVID-19) information. In this article, two sub-compartments (Normal Infected and Infected with Co-morbidity) has been considered with vaccinated class, which is relevant in the present situation. We have studied the dynamical analysis of the system and also studied sensitivity of the parameters for West Bengal framework. We have also considered an optimal control problem taking social distancing (non-pharmaceutical treatments) as a control parameter along with vaccination.

Suggested Citation

  • Meghadri Das & Guruprasad Samanta & Manuel De la Sen, 2021. "A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination," Mathematics, MDPI, vol. 9(21), pages 1-27, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2806-:d:672447
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    References listed on IDEAS

    as
    1. Thomas Abel & David McQueen, 2020. "The COVID-19 pandemic calls for spatial distancing and social closeness: not for social distancing!," International Journal of Public Health, Springer;Swiss School of Public Health (SSPH+), vol. 65(3), pages 231-231, April.
    2. Tian Liang Guo, 2013. "The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo," Journal of Optimization Theory and Applications, Springer, vol. 156(1), pages 115-126, January.
    3. H. J. Haubold & A. M. Mathai & R. K. Saxena, 2011. "Mittag-Leffler Functions and Their Applications," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-51, May.
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