Social contagion on higher-order structures

Abstract

In this Chapter, we discuss the effects of higher-order structures on SIS-like processes of social contagion. After a brief motivational introduction where we illustrate the standard SIS process on networks and the difference between simple and complex contagions, we introduce spreading processes on higher-order structures starting from the most general formulation on hypergraphs and then moving to several mean-field and heterogeneous mean-field approaches. The results highlight the rich phenomenology brought by taking into account higher-order contagion effects: both continuous and discontinuous transitions are observed, and critical mass effects emerge. We conclude with a short discussion on the theoretical results regarding the nature of the epidemic transition and the general need for data to validate these models.

arXiv comment18 pages, 5 figures; Book chapter

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Cited by in corpus (4)

• The temporal dynamics of group interactions in higher-order social networks
• Multistability, intermittency and hybrid transitions in social contagion models on hypergraphs
• Network clique cover approximation to analyze complex contagions through group interactions
• Simplicial cascades are orchestrated by the multidimensional geometry of neuronal complexes