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Thresholds for epidemic spreading in networks

Attribution-NonCommercial-NoDerivs 3.0 Spain info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/3.0/es/ ;ISSN: 0031-9007 ;EISSN: 1079-7114 ;DOI: 10.1103/PhysRevLett.105.218701

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  • Title:
    Thresholds for epidemic spreading in networks
  • Author: Castellano, Claudio ; Pastor Satorras, Romualdo
  • Subjects: Física ; Mecànica estadística ; Statistical mechanics ; Àrees temàtiques de la UPC
  • Description: 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.
  • Creation Date: 2010-11
  • Language: English
  • Identifier: ISSN: 0031-9007
    EISSN: 1079-7114
    DOI: 10.1103/PhysRevLett.105.218701
  • Source: Recercat
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