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Contagion in simplicial complexes

Author

Listed:
  • Li, Zhaoqing
  • Deng, Zhenghong
  • Han, Zhen
  • Alfaro-Bittner, Karin
  • Barzel, Baruch
  • Boccaletti, Stefano

Abstract

The propagation of information in social, biological and technological systems represents a crucial component in their dynamic behavior. When limited to pairwise interactions, a rather firm grip is available on the relevant parameters and critical transitions of these spreading processes, most notably the pandemic transition, which indicates the conditions for the spread to cover a large fraction of the network. The challenge is that, in many relevant applications, the spread is driven by higher order relationships, in which several components undergo a group interaction. To address this, we analyze the spreading dynamics in a simplicial complex environment, designed to capture the coexistence of interactions of different orders. We find that, while pairwise interactions play a key role in the initial stages of the spread, once it gains coverage, higher order simplices take over and drive the contagion dynamics. The result is a distinctive spreading phase diagram, exhibiting a discontinuous pandemic transition, and hence offering a qualitative departure from the traditional network spreading dynamics.

Suggested Citation

  • Li, Zhaoqing & Deng, Zhenghong & Han, Zhen & Alfaro-Bittner, Karin & Barzel, Baruch & Boccaletti, Stefano, 2021. "Contagion in simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006615
    DOI: 10.1016/j.chaos.2021.111307
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    References listed on IDEAS

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