Thresholds for epidemic spreading in networks

@article{Castellano2010ThresholdsFE,
  title={Thresholds for epidemic spreading in networks},
  author={Claudio Castellano and Romualdo Pastor-Satorras},
  journal={Physical review letters},
  year={2010},
  volume={105 21},
  pages={218701}
}
We study the threshold of epidemic models in quenched networks with degree distribution given by a power-law. For the susceptible-infected-susceptible model the activity threshold λ(c) vanishes in the large size limit on any network whose maximum degree k(max) diverges with the system size, at odds with heterogeneous mean-field (HMF) theory. The vanishing of the threshold has nothing to do with the scale-free nature of the network but stems instead from the largest hub in the system being… CONTINUE READING
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