  This report is based on the work in (1). We first review definitions and
notation developped there and provide derivations for the exact mathematical
description of an SIS epidemic on a hypergraph. We then generalise the work in
(1) to a new class of models that encompass SIS and SIR models. The exact
differential equations are derived for the expected values of the population of
each state. Focusing on Bi-uniform hypergraphs, we make suitable approximations
obtain numerical solutions to those equations. These are compared with
stochastic simulations of the model for various systems.
