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Citació: Castellano, C.; Pastor, R. Thresholds for epidemic spreading in networks. "Physical review letters", 2010, vol. 105, núm. 21, p. 1-4.
Títol: Thresholds for epidemic spreading in networks
Autor: Castellano, Claudio; Pastor Satorras, Romualdo Veure Producció científica UPC
Data: 2010
Tipus de document: Article
Resum: 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 c vanishes in the large size limit on any network whose maximum degree kmax 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 >1= 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 ۸c vanishes in the large size limit on any network whose maximum degree kmax 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 rate۸>1/√kmax 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.
ISSN: 0031-9007
URI: http://hdl.handle.net/2117/10769
DOI: 10.1103/PhysRevLett.105.218701
Versió de l'editor: http://prl.aps.org/abstract/PRL/v105/i21/e218701
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