New media hot events are currently in a complex network environment. Today’s mass emergencies are hot events that spread quickly and gather many people. Based on this research background, the paper proposes to use the nonlinear differential equation method to simulate the propagation of mass emergencies. We strive to achieve the goal of minimizing the total social loss through economic subsidies, taking into account the government’s use of police force and the degree of social legality. At the same time, we construct a nonlinear system differential model based on the semi-Markov switching space control process. Research shows that the algorithm does not rely on system parameter information. At the same time, the new media hot event push algorithm has good adaptability to the environment.