Replicating hypergraph disease dynamics with lower-order interactions

Disease spreading models such as the ubiquitous SIS compartmental model and its numerous variants are widely used to understand and predict the behavior of a given epidemic or information diffusion process. A common approach to imbue more realism to the spreading process is to constrain simulations to a network structure, where connected nodes update their disease state based on pairwise interactions along the edges of their local neighborhood.

Citation:
Tan E, Small M, Algar SD. Replicating hypergraph disease dynamics with lower-order interactions. Phys Rev E. 2026;113(1).

Keywords:
Dynamics of networks; Network structure; Population dynamics; Erdos-Renyi graph; Network Models; SIR

Abstract:
Disease spreading models such as the ubiquitous SIS compartmental model and its numerous variants are widely used to understand and predict the behavior of a given epidemic or information diffusion process. A common approach to imbue more realism to the spreading process is to constrain simulations to a network structure, where connected nodes update their disease state based on pairwise interactions along the edges of their local neighborhood.