Optimal control for a nonlinear age-structured population dynamics model

Abstract

We investigate the optimal harvesting problem for a nonlinear age-dependent and spatially structured population dynamics model where the birth process is described by a nonlocal and nonlinear boundary condition. We establish an existence and uniqueness result and prove the existence of an optimal control. We also establish necessary optimality conditions.

Keywords

• Optimal control
• optimality conditions
• age-structured population dynamics.