Considering the impact of sterile mosquitoes on disease transmission, we established  two mathematical models of different releasing methods. Firstly, a mathematical model for continuously releasing sterile mosquitoes was established, and the stability of each equilibrium of the system were proved by the theory of continuous dynamic system. Secondly, in order to consider more rigorous and realistic situations, a model with state impulsive releasing sterile mosquitoes was presented by using the geometric theory and successor functions of semi-continuous dynamical systems. In the meantime, the existences of order one periodic solution of the model and its orbital asymptotic stability are investigated. The results showed that the spread of the disease can be effectively controlled by releasing a certain amount of sterile mosquitoes in proportion to the total number of wild mosquitoes and sterile mosquitoes.