Backward bifurcations in simple vaccination models

Fred Brauer

Research output: Contribution to journalArticlepeer-review

163 Scopus citations


We describe and analyze by elementary means some simple models for disease transmission with vaccination. In particular, we give conditions for the existence of multiple endemic equilibria and backward bifurcations. We extend the results to include models in which the parameters may depend on the level of infection.

Original languageEnglish (US)
Pages (from-to)418-431
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Issue number2
StatePublished - Oct 15 2004
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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