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http://dx.doi.org/10.5666/KMJ.2011.51.4.353

Duality in an Optimal Harvesting Problem by a Nonlinear Age-Spatial Structured Population Dynamic System  

Kim, Yong-Kuk (Department of Mathematics, Kyungpook National University)
Lee, Mi-Jin (Department of Mathematics, Pusan National University)
Jung, Il-Hyo (Department of Mathematics, Pusan National University)
Publication Information
Kyungpook Mathematical Journal / v.51, no.4, 2011 , pp. 353-364 More about this Journal
Abstract
Duality in the optimal harvesting for a nonlinear age-spatial structured population dynamic model is studied in the framework of optimal control problem. 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.
Keywords
Duality theory; Optimal control problems; Age-structure; Harvesting problem;
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