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Abstract
This article focuses on the study of an age-structure model for the disease transmission
dynamics of tuberculosis in populations that are subjected to a vaccination program.
We first show that the infection-free steady state is globally stable if the basic
reproductive number R0 is below one, and that an endemic steady state exists when
the reproductive number in the presence of vaccine is above one. We then 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 strategies
can be either one- or two-age strategies.