Scale-free (SF) networks (1–3) are characterized by the presence of hubs, which are responsible for several striking properties for the propagation of information, rumors, or infections (4–9). Theoretical modeling of how diseases spread in complex networks is largely based on the assumption that the propagation is driven by reaction processes, in the sense that the transmission occurs from every infected entity through all its neighbors at each time step, producing a diffusion of the epidemics on the network.