In this paper, by using quMitative theory of ordinary differential equations and stability theory and computer tools, we establish and study two mathematical models of influenza with vaccine and without vaccine. According to data from the Chinese Center for Disease Control and Prevention, the parameters of the models was simulated by using MATLAB to obtain the range of the basic reproduction number of influenza, then we estimate the annual production of vaccines. Meanwhile we calculate the disease-free equilibrium and endemic equilibrium point in the model. The disease-free equilibrium is glob...
