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Zbl 1239.35172
Kim, Yongkuk; Lee, Mi Jin; Jung, Il Hyo
Duality in an optimal harvesting problem by a nonlinear age-spatial structured population dynamic system. (English)
[J] Kyungpook Math. J. 51, No. 4, 353-364 (2011). ISSN 1225-6951

Summary: Duality in the optimal harvesting for a nonlinear age-spatial structured population dynamic model is studied in the framework of optimal control problems. In this paper, the duality theory that displays the conjugacy of the primal problem is established and an application is given. Duality theory plays an important role in both optimization theory and methodology, and the results may be applied to a realistic biological system on the point of optimal harvesting.

MSC 2000:: *35Q93
49J20 Optimal control problems with PDE (existence)
49K20 Optimal control problems with PDE (nec./ suff.)
92D25 Population dynamics

Keywords: duality theory; optimal control problems; age-structure; harvesting problem

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