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Complex contagions with social reinforcement from different layers and neighbors

Author

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  • Chen, Ling-Jiao
  • Chen, Xiao-Long
  • Cai, Meng
  • Wang, Wei

Abstract

Researches about complex contagions on complex networks always neglect the reinforcement effect from different layers and neighbors simultaneously. In this paper we propose a non-Markovian model to describe complex contagions in which a susceptible node becoming adopted must take the social reinforcement from different layers and neighbors into consideration. Through extensive numerical simulations we find that the final adoption size will increase sharply with the information transmission probability at a large adoption threshold. In addition, for small values of adoption threshold, a few seeds could trigger a global contagion. However, there is a critical seed size below which the global contagion becomes impossible for large values of adoption threshold. Besides that, we develop an edge-based compartmental (EBC) theory to describe the proposed model, and it agrees well with numerical simulations.

Suggested Citation

  • Chen, Ling-Jiao & Chen, Xiao-Long & Cai, Meng & Wang, Wei, 2018. "Complex contagions with social reinforcement from different layers and neighbors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 516-525.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:516-525
    DOI: 10.1016/j.physa.2018.03.017
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    References listed on IDEAS

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    1. Wang, Wei & Cai, Meng & Zheng, Muhua, 2018. "Social contagions on correlated multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 121-128.
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    Cited by:

    1. Li, Yang & Sun, Hao & Xiong, Wanda & Xu, Genjiu, 2021. "Belief model of complex contagions on random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    2. Shao, Quan & Wang, Hong & Zhu, Pei & Dong, Min, 2021. "Group emotional contagion and simulation in large-scale flight delays based on the two-layer network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    3. Tian, Yang & Zhu, Xuzhen & Yang, Qiwen & Tian, Hui & Cui, Qimei, 2022. "Propagation characteristic of adoption thresholds heterogeneity in double-layer networks with edge weight distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).

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