The widespread of rumors is no doubt harmful to information security and social stability. Therefore, it is necessary to control it effectively. In this paper, a dynamic model with a double-layer interaction process is proposed to explore the impact of network interaction and dynamic evolution. Considering the individual heterogeneity and time-varying, the probability of node state transformation is not a fixed parameter, but closely related to the degree and hyperdegree of each node in the time step. Then, the theoretical analysis is conducted by Microscopic Markov Chain Approach and the impact of each parameter is tested. The simulation results show that the rumor diffusion is not only related to the interaction of the network, but also affected by the dynamic evolution of the network structure. Finally, according to the simulation results, the corresponding control strategies are proposed. The model is universal and can be reduced to traditional double-layer network model or single-layer dynamic hypernetwork model.

中文翻译：

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基于双层动态演化模型的谣言传播与控制

谣言的泛滥无疑不利于信息安全和社会稳定。因此，有必要对其进行有效控制。本文提出了一个具有双层交互过程的动态模型来探索网络交互和动态演化的影响。考虑到个体的异质性和时变性，节点状态变换的概率不是一个固定的参数，而是与每个节点在时间步长的度和超度密切相关。然后，采用显微马尔可夫链方法进行理论分析，并测试各参数的影响。仿真结果表明，谣言传播不仅与网络的相互作用有关，还受网络结构动态演化的影响。最后，根据仿真结果，提出了相应的控制策略。该模型具有通用性，可以简化为传统的双层网络模型或单层动态超网络模型。