舆情的演化传播一旦偏离了理性轨道, 就会导致群体性突发事件的爆发, 研究舆情演化的规律对于预防和控制群体性突发事件具有重要意义. 群体突发事件的发生发展与舆情的传播是相互作用的, 在分析二者之间作用关系的基础上, 根据纯跳马氏过程的定义, 建立了一种舆情演化的随机模型, 进一步由非齐次马氏过程特征给出了模型的一种易于求解的简化模型. 通过随机模型与简化模型的耦合偏差得到群体性突发事件舆情演化的一系列性质, 并得到了舆情演化的最终聚集态势点, 为政府及时掌握舆情演化的状态趋势, 预防和控制突发事件的发生提供了理论支持. 最后, 通过算例分析验证了舆情演化模型的有效性和实用性.

The evolution of public opinion will lead to the outbreak of group emergencies once it deviates from the rational track. The study of the mechanism of public opinion propagation is very important in the prevention and control of group emergencies. The evolution of group emergencies and public opinion are interrelated and interacted on each other. On the basis of analyzing the relationship between them, a stochastic model of public opinion evolution is established according to the definition of purely jumping Markov process. Furthermore, a simplified model which is easy to solve is built by the Nonhomogeneous Markovian Process. A series of properties and the final aggregation situation of the public opinion evolution are obtained through the coupling deviation between the stochastic model and the simplified one. And the theoretical support for the government to grasp the evolution of public opinion, prevent and control the emergencies is provided. Finally, the validity and practicability of public opinion evolution model are verified by a case study.