Social contagion models on hypergraphs: a new look on an emerging field
Accumulating evidence in showing that several biological and social contagion phenomena, such as superspreading events or social reinforcement, are the results of multi-body interactions. These are group interactions among more than two of the fundamental elements of a system, for example people in a social network, or neurons in a brain region. The standard paradigm so far has however been based on networks, which only allow interactions between pairs of nodes. To overcome these limitations, researchers have started focusing more and more on hypergraphs which instead offer a natural mathematical description of multi-body interactions (as described also in a recent Nature Perspective ). In a new paper out in Communications Physics, a scientific team led by Dr. Guillaume St-Onge (Université Laval) and coordinated by Prof. Laurent Hébert-Dufresne (University of Vermont) and including ISI Foundation Senior Research Scientist Giovanni Petri, develops a novel mathematical framework based on approximate master equations to study contagions on hypergraphs characterize by heterogeneity in the size of the groups defining the interactions and in the number of groups a node is part of. Using this contagion model where multi-body interactions are mapped onto a nonlinear infection rates between nodes within the same group, researchers demonstrate the influence of large groups in two ways. First, they highlight how large groups drive both the early spread of a contagion and its endemic state (i.e., its stationary state). Second, scientists find that, when the contagion is sufficiently nonlinear, groups are more effective seeds of contagion than individual nodes. Putting together these two effects, the researchers found a complex tradeoff between the efficacy of node and group seeding strategies on the evolution of the contagion process.