Mathematical model is a very useful tool to understand and analyse the dynamics of diseases.
This paper formulates a non-linear mathematical model which investigates the spread and control of􀇰
Corona virus (Covid-􀀒􀀚􀀊􀇰by dividing the population into 􀀘􀇰groups. They are those at risk of infection (S), those
incubated but not transmissible (E), those who die from infection (D), 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.