中文摘要：

针对投资者间的耦合关联性以及各自对股市谣言认知、判断和处置的异质性,分析了投资者关系网络视角下的股市谣言扩散演化机理,并构建基于动态扩散水平和连接强度函数的股市谣言扩散演化模型;通过基于平均场方程和模拟仿真分析,研判股市谣言扩散的演化特征。研究结果显示：谣言扩散水平、网络连接强度和拓扑结构直接影响谣言扩散阈值和稳定性特征。与此同时,通过调节网络连接强度和谣言扩散水平指数间的内在关系,可实现对股市谣言扩散阈值的控制。

英文摘要：

Considering the intrinsic coupling relationship between investors and their difference in rumour cognition, judgment and disposition, this paper analyzes the evolution mechanism of rumour spreading and constructs a rumour spreading and evolution model on the basis of SIR model. By applying theoretical and simulation analysis of the dynamics characteristics of the evolution of rumour spreading in stock market, this paper finds that the infectious index, network connection strength and network topology structure have a direct influence on the threshold and stability of rumor spreading. Meanwhile, the transmission threshold can be regulated by adjusting the internal relation between connection strength and infectious index.