Identifying epidemic threshold by temporal profile of outbreaks on networks.

Identifying epidemic threshold is of great significance in preventing and controlling disease spreading on real-world networks. Previous studies have proposed different theoretical and numerical approaches to determine the epidemic threshold for the susceptible-infected-recovered (SIR) model, but the numerical study of the critical points on networks by utilizing temporal characteristics of epidemic outbreaks is still lacking. Here, we study the temporal profile of epidemic outbreaks, i.