Wednesday, May 22, 2013

1305.4819 (Marian Boguna et al.)

The nature of epidemic thresholds in networks    [PDF]

Marian Boguna, Claudio Castellano, Romualdo Pastor-Satorras
We develop a analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topological distance between them dictates the existence or absence of such a threshold. In particular, small-world random networks with a degree distribution decaying slower than an exponential have a vanishing epidemic threshold in the thermodynamic limit.
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