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Optimal control problems of a size-structured competitive population system. (Chinese. English summary) Zbl 1340.92047

Summary: We study two optimal control problems for a competitive system with size-dependence: maximal profits problem, optimal harvesting problem constrained by an ecological balance. The optimality conditions are carefully derived by means of tangent-normal cones, the Dubovitskii-Milyutin theorem and the technique of adjoint systems.

MSC:

92D25 Population dynamics (general)
49N90 Applications of optimal control and differential games
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