A pair-based approximation for simplicial contagion

doi:10.1016/j.chaos.2025.116776

A pair-based approximation for simplicial contagion

2025-07-25

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DOI：10.1016/j.chaos.2025.116776

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Abstract

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• We propose a pair-based mean-field model for contagion on simplicial complexes. • The model includes pairwise correlations, improving on standard mean-field methods. • Using a fast-variable approach, we derive an expression for the contagion threshold. • We show that group interactions matter more in sparse structures with few dyads. • Simulations confirm that our model predicts the contagion dynamics accurately.

Keywords:

Contagion processes

Higher-order interactions

Simplicial complexes

Phase transitions

A pair-based approximation for simplicial contagion

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