He, Zerong; Jiang, Xiaodong; Yang, Lizhi Optimal control problems of a size-structured competitive population system. (Chinese. English summary) Zbl 1340.92047 Adv. Math., Beijing 44, No. 3, 449-458 (2015). 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. Cited in 1 Document MSC: 92D25 Population dynamics (general) 49N90 Applications of optimal control and differential games Keywords:body size; competitive system; optimal control; Dubovitskii-Milyutin theorem; maximum principle PDFBibTeX XMLCite \textit{Z. He} et al., Adv. Math., Beijing 44, No. 3, 449--458 (2015; Zbl 1340.92047)