Mathematical Model for the Spread of COVID-19

Mathematical model is a very useful tool to understand and analyse the dynamics of diseases. This paperformulates non-linear mathematical model which investigates the spread and control of Corona
virus (Covid-19) by dividing the population into 7 groups. They are those at risk of infection (S), those
incubated but not transmissible (E), those who die from infection (D), and those who are infected and can
be transmitted (I). , recovered group (R), vaccinated group (V) and isolated infected group (Q). The model exhibits two equilibriums: disease-free and endemic equilibriums. The numerical simulation shows that if the basic reproductive number is less than unity, the disease-free equilibrium is locally asymptotically stable. On the contrary, if a basic reproduction number is greater than unity, the endemic equilibrium is locally asymptotically stable.