Internal exact controllability of the linear population dynamics with diffusion

Abstract

We consider the internal exact controllability of a linear age and space structured population model with nonlocal birth process. The control acts only in a spatial subdomain and only for small age classes. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of parabolic boundary value problems in $L^k$ and the Banach fixed point theorem.

Keywords

• Exact controllability
• age-structured population dynamics.