Dynamic Analysis of Infectious Disease Propagation on Higher-Order Networks
Epidemic spreading on the graph is a well understood tool. However, using a graph is a simplification that only considers pairwise relationships, this does not fully represent realistic case. So we prefer to extend the mathematical modeling of epidemic propagation on the graph to hypergraphs. The hypergraphs offer a platform to study structural properties emerging from more complicated and higher-order than pairwise interactions among constituents and dynamical behavior, and hyperedges can be used to record group interactions. In this talk, we consider a special susceptible-infected-recovered(SIR) model on hypergraphs and introduces a set of contagion problems. Moreover, we also research the critical community size on this model.