Continuous-time age-structured models in population dynamics and epidemiology

Jia Li, Fred Brauer

Research output: Chapter in Book/Report/Conference proceedingChapter

36 Scopus citations


We present continuous-time models for age-structured populations and disease transmission. We show how to use the method of characteristic lines to analyze the model dynamics and to write an age-structured population model as an integral equation model. We then extend to an agestructured SIR epidemic model. As an example we describe an age-structured model for AIDS, derive a formula for the reproductive number of infection, and show how important a role pair-formation plays in the modeling process. In particular, we outline the semi-group method used in an age-structured AIDS model with non-random mixing. We also discuss models for populations and disease spread with discrete age structure.

Original languageEnglish (US)
Title of host publicationMathematical Epidemiology
PublisherSpringer Verlag
Number of pages23
ISBN (Print)9783540789109
StatePublished - Jan 1 2008
Externally publishedYes

Publication series

NameLecture Notes in Mathematics
ISSN (Print)0075-8434

ASJC Scopus subject areas

  • Algebra and Number Theory


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