General compartmental epidemic models

Fred Brauer

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The age of infection approach introduced by Kermack and Mckendrick in 1927 gives a unified way of describing and analyzing a variety of epidemic models, including models with multiple stages, treatment, and heterogeneous mixing. The author gives a description of the main results for such models, emphasizing the use of the final size relation to estimate the size of the epidemic.

Original languageEnglish (US)
Pages (from-to)289-304
Number of pages16
JournalChinese Annals of Mathematics. Series B
Issue number3
StatePublished - May 2010
Externally publishedYes


  • Basic reproduction number
  • Epidemic models
  • Final size relation
  • Treatment models

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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