COVID-19 SIQRV Fractional-Order Mathematical Model with Vaccination and Quarantine Control Measures

In this study, an epidemic disease fractional-order mathematical model for Omicron, denoted as B.1.1.529 SARS-Cov-2 Variant, is constructed. Covid-19 vaccines and quarantine are considered here to ensure the host population's safety across the model. The fundamentals of positivity and boundedness in this model have been investigated and validated. The reproduction number was calculated to determine whether or not the disease would spread further in Tamilnadu. Infection-free steady-state solutions that exist are asymptotically stable locally and globally when R0 < 1. Infection-present steady-state solutions also that are locally stable are discovered when R0 < 1. Finally, the current Omicron variant pandemic data from Tamilnadu, India, is validated.