Collective versus hub activation of epidemic phases on networks
PublisherAMER PHYSICAL SOC
Rights accessRestricted access - publisher's policy
We consider a general criterion to discern the nature of the threshold in epidemic models on scale-free (SF) networks. Comparing the epidemic lifespan of the nodes with largest degrees with the infection time between them, we propose a general dual scenario, in which the epidemic transition is either ruled by a hub activation process, leading to a null threshold in the thermodynamic limit, or given by a collective activation process, corresponding to a standard phase transition with a finite threshold. We validate the proposed criterion applying it to different epidemic models, with waning immunity or heterogeneous infection rates in both synthetic and real SF networks. In particular, a waning immunity, irrespective of its strength, leads to collective activation with finite threshold in scale-free networks with large degree exponent, at odds with canonical theoretical approaches.
CitationFerreira, S. C., Salvador, R., Pastor-Satorras, R. Collective versus hub activation of epidemic phases on networks. "PHYSICAL REVIEW E", 14 Març 2016, vol. 93, núm. 3, p. 1-10.
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