  In this paper we consider the null controllability for a population model
depending on time, on space and on age. Moreover, the diffusion coefficient
degenerate at the boundary of the space domain. The novelty of this paper is
that for the first time we consider the presence of a memory term, which makes
the computations more difficult. However, under a suitable condition on the
kernel we deduce a null controllability result for the original problem via new
Carleman estimates for the adjoint problem associated to a suitable
nonhomogeneous parabolic equation.
