Sir epidemics on a scale-free spatial nested modular network

Alberto Gandolfi, Lorenzo Cecconi

    Research output: Contribution to journalArticle

    Abstract

    We propose a class of random scale-free spatial networks with nested community structures called SHEM and analyze Reed-Frost epidemics with community related independent transmissions. We showthat in a specific example of the SHEM the epidemic threshold may be trivial or not as a function of the relation among community sizes, distribution of the number of communities, and transmission rates.

    Original languageEnglish (US)
    Pages (from-to)137-162
    Number of pages26
    JournalAdvances in Applied Probability
    Volume48
    Issue number1
    DOIs
    StatePublished - Mar 1 2016

    Fingerprint

    Spatial Networks
    Community Structure
    Scale-free Networks
    Trivial
    Community
    Class

    Keywords

    • Communities
    • Directed
    • Epidemics
    • Hierarchical
    • Long range
    • Modular
    • Nested
    • Percolation
    • Reed-Frost
    • Scale free
    • SHEM
    • SIR
    • Spatial
    • Threshold

    ASJC Scopus subject areas

    • Statistics and Probability
    • Applied Mathematics

    Cite this

    Sir epidemics on a scale-free spatial nested modular network. / Gandolfi, Alberto; Cecconi, Lorenzo.

    In: Advances in Applied Probability, Vol. 48, No. 1, 01.03.2016, p. 137-162.

    Research output: Contribution to journalArticle

    Gandolfi, Alberto ; Cecconi, Lorenzo. / Sir epidemics on a scale-free spatial nested modular network. In: Advances in Applied Probability. 2016 ; Vol. 48, No. 1. pp. 137-162.
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