Epidemic spreading on scale-free networks with dynamic centrality

Viruses have a vanishing epidemic threshold when they spread across a static scale-free network: in the thermodynamic limit, the virus will persist indefinitely on the network no matter how low its contagion rate. In this presentation, we explore the epidemic threshold of a virus on a dynamic scale-free network under the condition of \emph{dynamic centrality}, in which the virus is constrained to one of a rotating series of scale-free subnetworks with varying central ``hubs.'' Using simulations, we compare the epidemic threshold of the dynamic state to that of the static scale-free network as the network increases in size.