Applied problems of optimal control of age-structured populations

We will present mathematical models leading to problems of optimal control of age-structured populations. The optimality criterion is the profit functional defined on a finite time interval. In the first example, the discrete-time problem arising in an optimal forest management model is solved. The solution is obtained in constructive form by applying L.S. Pontryagin's maximum principle. The second example deals with the problem formulation from an extended model in which forest growth dynamics interacts with the moose population, that is managed by hunting. The spatially-explicit dynamics of the model are illustrated by geographic maps based on data for the Västra-Götaland region of Sweden. The results are obtained jointly with A.S. Platov.