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.

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