Heterogeneous mixing in epidemic models

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We extend the relation between the basic reproduction number and the initial exponential growth rate of an epidemic to models with heterogeneous mixing, and show that an epidemic with heterogeneity of mixing may have a quite different epidemic size than an epidemic with homogeneous mixing and the same reproduction number and initial exponential growth rate. Determination of the final size of an epidemic if there is heterogeneous mixing requires additional data from the initial exponential growth stage of the epidemic.

Original languageEnglish (US)
Pages (from-to)1-13
Number of pages13
JournalCanadian Applied Mathematics Quarterly
Volume20
Issue number1
StatePublished - Mar 1 2012
Externally publishedYes

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Epidemic Model
Exponential Growth
Reproduction number
Basic Reproduction number

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Heterogeneous mixing in epidemic models. / Brauer, Fred.

In: Canadian Applied Mathematics Quarterly, Vol. 20, No. 1, 01.03.2012, p. 1-13.

Research output: Contribution to journalArticle

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