Hypertension and COVID-19 fractional derivative model with double dose vaccination

Abstract

The prevalence of at least one underlying medical condition, which increases the likelihood of developing the severe COVID-19 disease, is found in 22 of the world's population. The primary underlying medical condition that contributes to COVID-19 problems in Ghana is hypertension. This work investigate COVID-19 in a population with hypertension taking into account double dose vaccination of susceptible individuals. The study modifies a previous model proposed in the literature to include double dose vaccination and Atangana-Baleanu-Caputo fractional derivatives is used to solve the model. We give few definitions of the ABC operator and determine the existence and uniqueness of the solution. Using COVID-19 data for the period February 21, 2021 to July, 24 2021, the model is tested. The dynamics of the disease in the community were shown to be influenced by fractional-order derivatives. Contrary to the previous model proposed in the literature, the vulnerable group saw a significant reduction in the number, which may be attributed to the double dose vaccination. We recommend a cost-effective optimal control analysis in future work.