Epidemics on Hypergraphs — Higher-Order Contagion

Parameters

Infected: 0
Recovered: 0
R₀ ≈ —

Physics

Standard epidemic models use pairwise (graph) interactions. But real contagion — social influence, information spread, group infections — often involves higher-order interactions among 3+ agents simultaneously.

Hypergraphs generalize graphs: a hyperedge can connect any number of nodes. Group exposure creates discontinuous (bistable) transitions absent in pairwise models.

The threshold for epidemic spread changes non-trivially: even below the pairwise threshold, group effects can trigger explosive outbreaks.