Influence of threshold-activated linear decay behaviors on information propagation in social networks

The social propagation of behaviors is influenced not only by interpersonal interactions, but also by individual psychological dynamics. This study presents a threshold-activated linear decay behaviors (TALDB) that incorporates both social and psychological factors to investigate propagation phenomena in social networks. Through edge-based partition theory and numerical simulations, the results demonstrate that TALDB can induce a range of phenomena, including continuous phase transitions, discontinuous phase transitions, and static behaviors. As the values of behavioral parameters increase, the behavioral intensity weakens, leading to a shift from continuous to discontinuous to static phase transitions. The findings reveal a phase transition crossover in how TALDB changes: the high-intensity behaviors promote the propagation of behaviors, while the weak behaviors delay propagation, decreasing gradually and more slowly. These insights extend the theoretical understanding of how individual psychology affects propagation dynamics in social systems, providing a mechanism for targeted interventions in complex networks.