Propagation dynamics of vacillating individual with behavioral variation on double-layer social network

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This paper investigates behavior propagation in a two-layer network, emphasizing the roles of behavioral vacillation and dependency psychology. By integrating a threshold function model and percolation theory, the study explores how varying degrees of vacillation and network viscosity impact behavior spread. The results show that higher behavioral vacillation accelerates propagation, reduces uncertainty, and lowers the critical threshold, highlighting the significant influence of psychological factors on diffusion. These findings provide valuable insights for real-world applications in marketing strategies, social influence, and public opinion dynamics. Future work should incorporate dynamic network elements to offer a more comprehensive understanding of behavior propagation.