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Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
Marc Barthelemy, Alain Barrat, Romualdo Pastor-Satorras +1
We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the…
Weighted evolving networks: coupling topology and weights dynamics
Alain Barrat, Marc Barthelemy, Alessandro Vespignani
We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution. The model is based on a simple…
Velocity and hierarchical spread of epidemic outbreaks in scale-free networks
Marc Barthelemy, Alain Barrat, Romualdo Pastor-Satorras +1
We study the effect of the connectivity pattern of complex networks on the propagation dynamics of epidemics. The growth time scale of outbreaks is inversely proportional to the ne…
On the properties of small-world network models
A. Barrat, M. Weigt
We study the small-world networks recently introduced by Watts and Strogatz [Nature {\bf 393}, 440 (1998)], using analytical as well as numerical tools. We characterize the geometr…