The basic reproduction rate for epidemic models structured by chronological age and infection age
1Mathematics Department, Vanderbilt University, Nashville, TN, USA.
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A model of an epidemic is investigated with the following population structure: (1) the chronological age of the susceptible population, (2) the chronological age of the infected population, and (3) the infection age of the infected population. The model consists of a system of partial differential equations describing the development of the epidemic in time for these populations. A basic reproduction rate R0(t) for the epidemic is formulated and examples of R0(t) are analyzed and illustrated graphically.
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