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• W2008167229 abstract "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 ${ensuremath{lambda}}_{c}$ vanishes in the large size limit on any network whose maximum degree ${k}_{mathrm{max}}$ 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 active for any spreading rate $ensuremath{lambda}>1/sqrt{{k}_{mathrm{max}}}$ and playing the role of a self-sustained source that spreads the infection to the rest of the system. The susceptible-infected-removed model displays instead agreement with HMF theory and a finite threshold for scale-rich networks. We conjecture that on quenched scale-rich networks the threshold of generic epidemic models is vanishing or finite depending on the presence or absence of a steady state." @default.
• W2008167229 created "2016-06-24" @default.
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• W2008167229 date "2010-11-17" @default.
• W2008167229 modified "2023-10-12" @default.
• W2008167229 title "Thresholds for Epidemic Spreading in Networks" @default.
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• W2008167229 doi "https://doi.org/10.1103/physrevlett.105.218701" @default.
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