| Abstract: | Abstract
This article focuses on the study of an age structured
SEIRS epidemic model with a vaccination program when the total
population size is not kept at constant. We first give the
explicit expression of the reproduction number
in the presence of
vaccine (
is the exponent of
growth of total population), and show that the infection-free
steady state is linearly stable if
and unstable if
, then we apply the
theoretical results to vaccination policies to determine the
optimal age or ages at which an individual should be vaccinated.
It is shown that the optimal strategy can be either one- or
two-age strategies. |
