Compartmental models in epidemiology

Research output: Chapter in Book/Report/Conference proceedingChapter

77 Scopus citations

Abstract

We describe and analyze compartmental models for disease transmission. We begin with models for epidemics, showing how to calculate the basic reproduction number and the final size of the epidemic. We also study models with multiple compartments, including treatment or isolation of infectives. We then consider models including births and deaths in which there may be an endemic equilibrium and study the asymptotic stability of equilibria. We conclude by studying age of infection models which give a unifying framework for more complicated compartmental models.

Original languageEnglish (US)
Title of host publicationMathematical Epidemiology
PublisherSpringer Verlag
Pages19-79
Number of pages61
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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  • Cite this

    Brauer, F. (2008). Compartmental models in epidemiology. In Mathematical Epidemiology (pp. 19-79). (Lecture Notes in Mathematics; Vol. 1945). Springer Verlag. https://doi.org/10.1007/978-3-540-78911-6_2