Transcription of Chapter 9 Continuous-Time Age-Structured Models …
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Chapter 9 Continuous-Time Age-Structured Models …
Chapter 9. Continuous-Time Age-Structured Models in population dynamics and epidemiology Jia Li and Fred Brauer Abstract We present Continuous-Time Models for Age-Structured populations and disease transmission. We show how to use the method of character- istic lines to analyze the model dynamics and to write an Age-Structured population model as an integral equation model . We then extend to an age- structured 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.
Chapter 9 Continuous-Time Age-Structured Models in Population Dynamics and Epidemiology Jia Li and Fred Brauer AbstractWe present continuous-time models for age-structured populations
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