In this paper, a mathematical model of the COVID-19 pandemic with lockdown that provides a more accurate representation of the infection rate has been analyzed.In this High Grill Cooker model, the total population is divided into six compartments: the susceptible class, lockdown class, exposed class, asymptomatic infected class, symptomatic infected class, and recovered class.The basic reproduction number (R0)is calculated using the next-generation matrix method and presented graphically based on different progression rates and effective contact rates of infective individuals.
The COVID-19 epidemic model exhibits the disease-free equilibrium and endemic equilibrium.The local and global stability analysis has been done at the disease-free and endemic equilibrium based on R0.The stability analysis of the model shows that the disease-free equilibrium is both locally and globally stable when R01under some conditions.
A control strategy including vaccination and Flower treatment has been studied on this pandemic model with an objective functional to minimize.Finally, numerical simulation of the COVID-19 outbreak in India is carried out using MATLAB, highlighting the usefulness of the COVID-19 pandemic model and its mathematical analysis.