Title:
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Thresholds for epidemic spreading in networks
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Author:
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Castellano, Claudio; Pastor Satorras, Romualdo
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear; Universitat Politècnica de Catalunya. SIMCON - Grup de Recerca de Simulació per Ordinador en Matèria Condensada |
Abstract:
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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. |
Subject(s):
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-Àrees temàtiques de la UPC::Física -Statistical mechanics -Mecànica estadística |
Rights:
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Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Document type:
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Article - Published version Article |
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