Abstract: The influence mechanism of vaccination and quarantine measures on the spread of corona virus was studied through mathematical modeling. Through qualitative analysis of the established model, the basic reproductive number was determined by using the next generation matrix method, and the existence and stability of the equilibria were given. Numerical simulations show that improving vaccine effectiveness can control the spread of corona virus more quickly, and increasing vaccination rates can delay the peak time of infection and reduce the number of cases. In addition, we should continue to implement some non-drug interventions, such as wearing masks and isolation, which can greatly reduce the final scale of infection and the transmission time of corona virus, and ultimately effectively control the spread of corona virus.