中文摘要：

考虑到真实社交网络中存在的从众效应,根据个体心理特征的变化,改进了对谣言传播概率以及谣言传播者恢复理性概率的动态化描述,提出了考虑从众效应的谣言传播模型,并针对不同的网络拓扑结构建立了相应的谣言传播动力学方程组。在考虑从众效应的谣言传播模型中,对谣言的最终传播规模进行了数值分析,结果表明,随着谣言的初始传播概率的增大,谣言的最终传播规模也随之增大;改进模型的仿真结果也表明从众效应会加速谣言的传播演化。利用蒙特卡罗方法模拟了谣言在小世界网络和无标度网络中的传播演化,结果表明在从众效应的影响下,谣言在无标度网络中传播速度更快,扩散程度更深。将改进模型基于真实社交网络拓扑进行了模拟仿真,发现谣言的初始传播个体影响力对于谣言的传播演化具有重要的影响。

英文摘要：

Considering that there exists conformity effect in the real social network, the dynamic descriptions of the probabilities of rumor spreading and a spreader coming to reason were improved. A rumor spreading model with conformity effect was proposed, and the corresponding equations of transmission dynamics were established based on the different network topologies. In the rumor spreading model with conformity effect, numerical analysis of eventual scale of rumor spreading was conducted, and the results show that the eventual scale of rumor spreading increases with the initial probability of rumor spreading. Matlab simulations of the model show that conformity effect will accelerate the rumor spreading. Monte Carlo method was utilized to simulate the rumor spreading in the small-world network and the scale-free network, and results show that under the influence of conformity effect, the rumors are spreading faster and deeper in the scale-free network. The simulations of the improved model based on the real social network show that the influence of the initial rumor spreader exerts a great impact on the process of rumor spreading.