STABILITY ANALYSIS OF A FRACTIONAL ORDER CORONAVIRUS(COVID-19) EPIDEMIC MODEL

In this paper a six-compartmental coronavirus(COVID-19) epidemic model is developed. We have divided the total population into five classes, namely susceptible, exposed, infected, treatment, recovered and the concentration of the coronavirus in the environment reservoir class. The basic reproduction number R-0 is calculated using the next-generation matrix method. The stability analysis of the model shows that the system is locally asymptotically stable at the disease-free equilibrium (DFE) epsilon(0) when R-0 < 1. When R-0 > 1, an endemic equilibrium epsilon* exists and the system becomes locally asymptotically stable at epsilon* under some conditions.