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

Kim, Yong-Kuk;Lee, Mi-Jin;Jung, Il-Hyo

  • Received : 2011.09.01
  • Accepted : 2011.10.04
  • Published : 2011.11.23

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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Cited by

  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

Acknowledgement

Grant : Cooperative Research Program for Agriculture Science & Technology Development

Supported by : Rural Development Administration