Sir epidemics on a scale-free spatial nested modular network

Alberto Gandolfi, Lorenzo Cecconi

Research output: Contribution to journalArticlepeer-review


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
Issue number1
StatePublished - Mar 2016


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

ASJC Scopus subject areas

  • Statistics and Probability
  • Applied Mathematics


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