Dynamics of social contagions with local trend imitation
Stanley, H. Eugene
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Citation (published version)Xuzhen Zhu, Wei Wang, Shimin Cai, H Eugene Stanley. 2018. "Dynamics of social contagions with local trend imitation." Scientific Reports, Volume 8. https://doi.org/10.1038/s41598-018-25006-6
Research on social contagion dynamics has not yet included a theoretical analysis of the ubiquitous local trend imitation (LTI) characteristic. We propose a social contagion model with a tent-like adoption probability to investigate the efect of this LTI characteristic on behavior spreading. We also propose a generalized edge-based compartmental theory to describe the proposed model. Through extensive numerical simulations and theoretical analyses, we fnd a crossover in the phase transition: when the LTI capacity is strong, the growth of the fnal adoption size exhibits a second-order phase transition. When the LTI capacity is weak, we see a frst-order phase transition. For a given behavioral information transmission probability, there is an optimal LTI capacity that maximizes the fnal adoption size. Finally we fnd that the above phenomena are not qualitatively afected by the heterogeneous degree distribution. Our suggested theoretical predictions agree with the simulation results.
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