Stability Analysis of Vaccinated and Non-vaccinated Population of Covid’19 – A Study by Mathematical Modeling

This work aims to study the mathematical model of the coronavirus disease, which affects human beings. A deterministic mathematical model for coronavirus disease among the population, including the vaccinated population, was developed and analyzed. Using the survey, statistical data of the vaccinated population were analyzed to reduce the COVID-19 affected count and loss of death using a mathematical model. A stability analysis was conducted to investigate the model described for the population, and the equilibrium points and interior equilibrium points of the system were derived. Positiveness and boundedness were also analyzed. The global stability analysis is expressed for the proposed model By constructing the Lyapunov function and also by the feedback controller mechanism. The results of this study were tested using simulations carried out in MATLAB. The applicability of the result was illustrated using numerical examples.