Global stability and sensitivity analysis of parameters of Omicron variant epidemic in diverse susceptible classes incorporating vaccination stages

In this study, a mathematical Omicron model has been studied in view of the densities of a susceptible population without a vaccine, with the first dose of vaccine, with the second dose of vaccine and with a booster dose of vaccine respectively, at the time t. The impact of the Omicron variant virus reservoir has been analysed. The basic reproduction number (R₀) of the system at the disease-free equilibrium for all positive parameters has been discussed. An analysis of local and global stability under various conditions at disease-free and endemic equilibrium points has been conducted. The sensitivity analysis is performed and the most sensitive parameter of the system is identified. On the basis of the effect of various parameters on the system, we perform numerical simulation of the Omicron variant system in Indian population.