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Phase transition phenomena in social propagation with dynamic fashion tendency and individual contact

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  • Tian, Yang
  • Tian, Hui
  • Cui, Qimei
  • Zhu, Xuzhen

Abstract

In complex systems, individuals exhibit various social contact capacities on account of differences in societal strata, educational backgrounds, and individual psychology. It is a fact that people tend to utilize diverse social networks and demonstrate ever-changing fashion trends. From our study on personal psychology, we have noted that individuals display a behaviour known as dynamic fashion tendency (DFT) when receiving information. Next, to represent DFT behaviour through a threshold model, we devised a dynamic SAR propagation model on a multi-layer contact network. For the transmission mechanism of individual behaviour, we utilized partition theory to investigate and uncover. Both theoretical analysis and simulation experiments demonstrate that the propagation mode exhibits a boundary phenomenon. The final adoption size may demonstrate either continuous second-order or discontinuous first-order phase transitions, depending on individual DFT behaviour. When unit propagation probability is constant, the largest final adoption size is attained with the ideal DFT parameters. Additionally, personal contact plays a role in spreading behaviour and shifting the propagation pattern from continuous second-order to discontinuous first-order. Ultimately, numerical analysis can correspond with real models.

Suggested Citation

  • Tian, Yang & Tian, Hui & Cui, Qimei & Zhu, Xuzhen, 2024. "Phase transition phenomena in social propagation with dynamic fashion tendency and individual contact," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012687
    DOI: 10.1016/j.chaos.2023.114366
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