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

@article{cf289d4c6381443b9ed132b6facf8e8d,
title = "Sir epidemics on a scale-free spatial nested modular network",
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.",
keywords = "Communities, Directed, Epidemics, Hierarchical, Long range, Modular, Nested, Percolation, Reed-Frost, Scale free, SHEM, SIR, Spatial, Threshold",
author = "Alberto Gandolfi and Lorenzo Cecconi",
year = "2016",
month = "3",
day = "1",
doi = "10.1017/apr.2015.10",
language = "English (US)",
volume = "48",
pages = "137--162",
journal = "Advances in Applied Probability",
issn = "0001-8678",
publisher = "University of Sheffield",
number = "1",

}

TY - JOUR

T1 - Sir epidemics on a scale-free spatial nested modular network

AU - Gandolfi, Alberto

AU - Cecconi, Lorenzo

PY - 2016/3/1

Y1 - 2016/3/1

N2 - 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.

AB - 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.

KW - Communities

KW - Directed

KW - Epidemics

KW - Hierarchical

KW - Long range

KW - Modular

KW - Nested

KW - Percolation

KW - Reed-Frost

KW - Scale free

KW - SHEM

KW - SIR

KW - Spatial

KW - Threshold

UR - http://www.scopus.com/inward/record.url?scp=84963517228&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84963517228&partnerID=8YFLogxK

U2 - 10.1017/apr.2015.10

DO - 10.1017/apr.2015.10

M3 - Article

AN - SCOPUS:84963517228

VL - 48

SP - 137

EP - 162

JO - Advances in Applied Probability

JF - Advances in Applied Probability

SN - 0001-8678

IS - 1

ER -