Kyungpook Mathematical Journal

  • 제51권4호
  • /
  • Pages.353-364
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  • 2011
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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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)
  • 투고 : 2011.09.01
  • 심사 : 2011.10.04
  • 발행 : 2011.11.23
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초록

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.

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참고문헌

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피인용 문헌

  1. Optimal Harvesting for an Age-Spatial-Structured Population Dynamic Model with External Mortality vol.2012, 2012, https://doi.org/10.1155/2012/184815
  2. The effect of public health interventions on the spread of influenza among cities vol.293, 2012, https://doi.org/10.1016/j.jtbi.2011.10.008