@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",

}