Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks
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We develop an 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.
CitationBoguñá, M.; Castellano, C.; Pastor-Satorras, R. Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks. "Physical review letters", 07 Agost 2013, vol. 111, p. 068701-1-068701-5.