Monte Carlo Simulations of a SIS‐Diffusion Model in Heterogeneous Metapopulations

We present a model for the spread of infectious diseases in heterogeneous metapopulations. The equations governing the epidemic dynamics have been recently proposed as an alternative formulation in a continuous‐time framework. In the model, the reaction process (i.e. the disease transmission and the recovery of the individuals) and the migration/diffusion process are considered to take place simultaneously. Several Monte Carlo simulations of the system are implemented using uncorrelated networks with scale‐free or exponential degree distribution. The numerical data of the simulations are consistent with the predictions of the continuous‐time equations.