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Thresholds for epidemic spreading in networks

Physical review letters, 2010-11, Vol.105 (21), p.218701 [Peer Reviewed Journal]

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 ;PMID: 21231361

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  • Title:
    Thresholds for epidemic spreading in networks
  • Author: Castellano, Claudio ; Pastor-Satorras, Romualdo
  • Subjects: Disease Transmission, Infectious ; Epidemics ; Física ; Humans ; Mecànica estadística ; Models, Biological ; Statistical mechanics ; Time Factors ; Àrees temàtiques de la UPC
  • Is Part Of: Physical review letters, 2010-11, Vol.105 (21), p.218701
  • 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 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 active for any spreading rate λ>1/√k(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.
  • Publisher: United States
  • Language: English
  • Identifier: ISSN: 0031-9007
    EISSN: 1079-7114
    DOI: 10.1103/PhysRevLett.105.218701
    PMID: 21231361
  • Source: Recercat

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