Backward bifurcations in simple vaccination/treatment models

Fred Brauer

Research output: Contribution to journal › Article

14 Citations (Scopus)

Abstract

We describe and analyse by elementary means some simple models for disease transmission with vaccination and treatment. In particular, we give conditions for the existence of multiple endemic equilibria and backward bifurcations. The results are applicable to epidemic models in which demographic effects are ignored, but there is temporary immunity following recovery from infection.

Original languageEnglish (US)
Pages (from-to)410-418
Number of pages9
JournalJournal of Biological Dynamics
Volume5
Issue number5
DOIs
StatePublished - Sep 1 2011
Externally publishedYes

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vaccination
bifurcation
disease transmission
immunity
demographic statistics
infection
effect

Keywords

  • Backward bifurcation
  • Temporary immunity
  • Treatment
  • Vaccination

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

Backward bifurcations in simple vaccination/treatment models. / Brauer, Fred.

In: Journal of Biological Dynamics, Vol. 5, No. 5, 01.09.2011, p. 410-418.

Research output: Contribution to journal › Article

Brauer, F 2011, 'Backward bifurcations in simple vaccination/treatment models', Journal of Biological Dynamics, vol. 5, no. 5, pp. 410-418. https://doi.org/10.1080/17513758.2010.510584
Brauer F. Backward bifurcations in simple vaccination/treatment models. Journal of Biological Dynamics. 2011 Sep 1;5(5):410-418. https://doi.org/10.1080/17513758.2010.510584
Brauer, Fred. / Backward bifurcations in simple vaccination/treatment models. In: Journal of Biological Dynamics. 2011 ; Vol. 5, No. 5. pp. 410-418.
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