@inbook{8313279504eb46c89d065e05cf2c018b,
title = "Continuous-time age-structured models in population dynamics and epidemiology",
abstract = "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.",
author = "Jia Li and Fred Brauer",
year = "2008",
month = jan,
day = "1",
doi = "10.1007/978-3-540-78911-6_9",
language = "English (US)",
isbn = "9783540789109",
series = "Lecture Notes in Mathematics",
publisher = "Springer Verlag",
pages = "205--227",
booktitle = "Mathematical Epidemiology",
}