Duality in an optimal harvesting problem by a nonlinear age-spatial structured population dynamic system

Yongkuk Kim; Mi Jin Lee; Il Hyo Jung

doi:10.5666/KMJ.2011.51.4.353

Duality in an optimal harvesting problem by a nonlinear age-spatial structured population dynamic system

Yongkuk Kim, Mi Jin Lee, Il Hyo Jung

Pusan National University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	353-364
Number of pages	12
Journal	Kyungpook Mathematical Journal
Volume	51
Issue number	4
DOIs	https://doi.org/10.5666/KMJ.2011.51.4.353
State	Published - Dec 2011

Keywords

Age-structure
Duality theory
Harvesting problem
Optimal control problems

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10.5666/KMJ.2011.51.4.353

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Duality in an optimal harvesting problem by a nonlinear age-spatial structured population dynamic system

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Keywords

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