First, based on the law of disease propagation and conservation of population statistics, this paper sets up mathematical models of four kinds of person for SARS, applies mathematical method to analyze the model, and it gets the physiology senses of the mathematical model and mechanism of prevention and control respectively. Second, it sets up predictive models of SARS epidemic disease using BP artificial neural network. According to the data of SARS in Beijing, it predicts and analyzes the model. The experimental results show that the method is simpler, and more effective with high prediction precision。