Sir epidemics on a scale-free spatial nested modular network

Alberto Gandolfi; Lorenzo Cecconi

doi:10.1017/apr.2015.10

Sir epidemics on a scale-free spatial nested modular network

Alberto Gandolfi, Lorenzo Cecconi

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	137-162
Number of pages	26
Journal	Advances in Applied Probability
Volume	48
Issue number	1
DOIs	https://doi.org/10.1017/apr.2015.10
State	Published - Mar 2016

Keywords

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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10.1017/apr.2015.10

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KW - Percolation

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KW - SIR

KW - Scale free

KW - Spatial

KW - Threshold

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Sir epidemics on a scale-free spatial nested modular network

Abstract

Keywords

ASJC Scopus subject areas

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