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.
Highlights
Coronavirus disease (COVID-19) is a condition caused by the newly found Coronavirus SARS-COV-2
We numerically investigated the dynamical system in relation to the parameter values associated with the West Bengal situation in 2021 (Section 6)
We looked into the emergence of a modified SAVICR epidemic model that included memory effects
Summary
Coronavirus disease (COVID-19) is a condition caused by the newly found Coronavirus SARS-COV-2. Various countries have used non-pharmaceutical treatments (NPIs) such as masking, social distancing, and good hygiene practice to combat the COVID-19 pandemic This procedure aids in slowing, but not stopping, the progress of the disease. The calculus of fractional order system adds an additional parameter to the modeling framework, which helps in numerical simulations. The prior models are highly useful for analyzing COVID-19 transmission; they ignore co-morbidity, vaccinated classes, and the West Bengal pandemic situation. These facts, as well as the benefits of calculus of fraction order, compel us to build the proposed model on COVID-19 in the Caputo fractional framework. A modified-fractional-order SAVICR model for two sub-compartments of infected patients (with or without co-morbidity) and vaccinated patients was developed (Section 2).
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