Optimal Harvesting for a Nonlinear Age-Dependent Population Dynamics

Here we investigate an optimal harvesting problem for a nonlinear age-dependent population dynamics. Existence and uniqueness of a positive solution for the model are demonstrated. The structure of the solution is also investigated. We establish the existence of the optimal control and the convergence of a certain fractional step scheme. For some approximating problems we obtain the optimal controllers in feedback form via the dynamic programming method