复杂网络演化的舆论动力学模型及仿真分析

针对舆论传播过程中复杂动力学演化问题，提出一种基于传播动力学的舆论动态演化模型。首先，构建舆论及舆论演化模型，通过方程变换求出静态解；其次，引入Fokker-Planck方程对舆论演化渐近行为进行分析，得到稳态解决方案并求解，构建复杂网络与模型的关联并提出仿真研究实验目的；最后，通过对舆论演化模型及引入Fokker-Planck方程的舆论意见模型进行仿真分析，并以真实微博舆论数据为例进行实证分析，研究舆论在复杂网络中传播和演化的实质。实验结果表明舆论网络演化渐近行为与度分布相一致，网络舆论传播中的连接方式会受到节点意见影响，模型能有效描述微博舆论传播网络形成和演化过程的动力学行为。

Dynamic model of public opinion and simulation analysis of complex network evolution

In terms of the evolution of complex dynamics in the dissemination of public opinion, a dynamic evolution model was proposed based on transmission dynamics. Firstly, the models of public opinion and its evolution were constructed and the static solution was obtained through equation transformation. Secondly, the Fokker-Planck equation was introduced to analyze the asymptotic behavior of public opinion evolution, getting the steady-state solution and solving it. In that case, the correlation between the complex network and the model was built and the experiment objective of simulation research was put forward. Finally, through the simulation analysis of the public opinion evolution model and the public opinion model with the Fokker-Planck equation, and the empirical analysis of real micro-blog public opinion data, the essence of the dissemination and evolution of public opinion in the complex network was studied. The results show that the asymptotic behavior of public opinion network evolution is consistent with the distribution of degrees and the connection way of network public opinion dissemination is influenced by nodes. The model can describe the dynamic behavior in the formation and evolution of micro-blog public opinion network.