An introduction to networks in epidemic modeling

Fred Brauer

Research output: Chapter in Book/Report/Conference proceedingChapter

17 Scopus citations

Abstract

We use a stochastic branching process to describe the beginning of a disease outbreak. Unlike compartmental models, if the basic reproduction number is greater than one there may be a minor outbreak or a major epidemic with a probability depending on the nature of the contact network. We use a network approach to determine the distribution of outbreak and epidemic sizes.

Original languageEnglish (US)
Title of host publicationMathematical Epidemiology
PublisherSpringer Verlag
Pages133-146
Number of pages14
ISBN (Print)9783540789109
DOIs
StatePublished - Jan 1 2008
Externally publishedYes

Publication series

NameLecture Notes in Mathematics
Volume1945
ISSN (Print)0075-8434

ASJC Scopus subject areas

  • Algebra and Number Theory

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