Exact Null Controllability of a Stage and Age‐Structured Population Dynamics System

This paper is concerned with the exact null controllability of an age‐dependent life cycle dynamics with nonlocal transition processes arising as boundary conditions. We investigate the controllability for the pest by acting on eggs in a small age interval. The main method is based on the derivation of estimations for the adjoint variables related to an optimal control problem. A fixed point theorem is then used to draw conclusions.