针对突发事件社交网络舆情扩散特征,考虑政府及公众媒体对社交网络舆情参与者产生的影响,建立一种突发事件社交网络舆情扩散模型。定义并分析突发事件社交网络舆情扩散趋势的转折点,由舆情扩散模型推导出度量突发事件社交网络舆情扩散趋势的测度,同时给出并证明在不同舆情扩散测度下转折点的存在性及舆情扩散趋势。根据舆情扩散测度给出一种最优控制的目标函数,利用舆情扩散测度的关键因素,推导出使目标函数值最小的舆情扩散控制方法。通过数值模拟计算,说明模型及控制方法的有效性和实用性。
According to the diffusion characteristics of emergency social network public opinion, considering the influence of the government and public media on the participants of social network public opinion, we establish an emergency social network public opinion diffusion model, which defines and analyses on the turning point of emergency social network pub- lic opinion diffusion trend,on the basis of public opinion diffusion model,as well as derives the measurement of emergency social network public opinion diffusion trend, At the same time, it provides and proves the existence of turning point and public opinion diffusion tendency on different public opinion diffusion measurements. According to public opinion diffusion measurement, we then give a kind of optimal control objective function, use the key factors of public opinion diffusion measurement, derive the minimum value of the objective function of public opinion diffusion control method, Finally, through the numerical simulation, the validity and practicability of the model and control method is verified.