Optimal harvesting control problem for an age-dependent competing system of n species

This paper is concerned with optimal harvesting policy for an age-dependent n-dimension competing species. The existence and uniqueness of nonnegative solution of the system are proved using the fixed point theorem. The existence of optimal control strategy is discussed, optimality conditions are derived by means of normal cone and Dubovitskii–Milyutin’s general theory. Our results extend some known criteria.