Nonlinear Contagion

Mapping of the simplicial contagion model to a hypergraph contagion.

Influential groups for seeding and sustaining nonlinear contagion in heterogeneous hypergraphs. pdf

By mapping multibody interactions to nonlinear infection rates, we demonstrate the influence of large groups in two ways.

First, we characterize the phase transition, which can be continuous or discontinuous with a bistable regime.

Second, we formulate an optimal seeding problem for hypergraph contagion and compare two strategies: allocating seeds according to node or group properties.