Epidemics with two levels of mixing
type: Item
instance of: scholarly article
title: Epidemics with two levels of mixing
zbMATH Open document ID: 0909.92028
author: Denis Mollison
author: Frank Ball
author: Gianpaolo Scalia Tomba
published in: The Annals of Applied Probability
publication date: 1997-05-28T00:00:00Z
review text: The authors develop a model for a SIR epidemic in which individuals mix at two levels: global and local. They investigate conditions under which an outbreak is possible and also the size of the outbreak. The main result is that local infectious contacts can have an amplification effect which can permit an outbreak to occur under conditions where a global homogeneous mixing model would not predict an outbreak. Threshold conditions are studied using branching approximations. They use their results to discuss vaccination strategies.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 05C80
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 1014228
zbMATH Keywords: threshold conditions
zbMATH Keywords: local mixing
zbMATH Keywords: SIR epidemic
reviewed by: J. M. Cushing
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1034625252
OpenAlex ID: W2006423444
DOI: 10.1214/AOAP/1034625252
description: scientific article; zbMATH DE number 1014228