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Simplicial models of social contagion

Author

Listed:
  • Iacopo Iacopini

    (Queen Mary University of London
    The British Library)

  • Giovanni Petri

    (ISI Foundation
    ISI Global Science Foundation)

  • Alain Barrat

    (ISI Foundation
    Aix Marseille Univ, Université de Toulon, CNRS, CPT)

  • Vito Latora

    (Queen Mary University of London
    The British Library
    Universitá di Catania and INFN
    Complexity Science Hub Vienna)

Abstract

Complex networks have been successfully used to describe the spread of diseases in populations of interacting individuals. Conversely, pairwise interactions are often not enough to characterize social contagion processes such as opinion formation or the adoption of novelties, where complex mechanisms of influence and reinforcement are at work. Here we introduce a higher-order model of social contagion in which a social system is represented by a simplicial complex and contagion can occur through interactions in groups of different sizes. Numerical simulations of the model on both empirical and synthetic simplicial complexes highlight the emergence of novel phenomena such as a discontinuous transition induced by higher-order interactions. We show analytically that the transition is discontinuous and that a bistable region appears where healthy and endemic states co-exist. Our results help explain why critical masses are required to initiate social changes and contribute to the understanding of higher-order interactions in complex systems.

Suggested Citation

  • Iacopo Iacopini & Giovanni Petri & Alain Barrat & Vito Latora, 2019. "Simplicial models of social contagion," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-10431-6
    DOI: 10.1038/s41467-019-10431-6
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