  According to the World Health Organization the global incidence rate of
dengue infections have risen drastically in recent years. It is estimated that
globally the number of new infections is in the range of $100$ to $400$ million
per annum. At the same time a number of recent studies reported the existence
of Wolbachia strains, which inhibit dengue virus replication in mosquito
species that are primary vectors for dengue transmission. In this study we
focus on the impact of Wolbachia on dengue transmission dynamics in an
age-structured human population. We introduce a mathematical model, which takes
into account age-related effects, such as age-dependent human recovery and
mortality rates, as well as age-dependent vector to human dengue transmission
efficacy. We deduce an explicit formula for the basic reproduction number
$\mathcal{R}_0$, which allows us to assess the impact of the above mentioned
age-related effects on the local asymptotic stability of the dengue free
equilibrium. The formula we deduce for $\mathcal{R}_0$ also shows the intricate
relationship between human demography and the presence of a dengue inhibiting
Wolbachia strain.
