Traffic Driven Epidemic Spreading in Weighted Homogeneous Networks

To investigate the impact of weights on the traffic driven epidemic spreading in weighted homogeneous networks, an epidemic model in pseudo-random network with adjustable weights is presented. In the scenario that epidemic pathway is defined and driven by traffic flows, the epidemic spreading velocity of SI model in weighted homogeneous networks is obviously accelerated when the edge weight is different. And in traffic driven SIS model, the epidemic threshold is found to be proportional to the inverse of the average node betweenness. It is better to control the epidemic spreading when the edges have the same weight. Simulation results have confirmed the theoretical predictions.