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Optimal Harvesting for an Age‐Spatial‐Structured Population Dynamic Model with External Mortality

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  • Yong Han Kang
  • Mi Jin Lee
  • Il Hyo Jung

Abstract

We study an optimal harvesting for a nonlinear age‐spatial‐structured population dynamic model, where the dynamic system contains an external mortality rate depending on the total population size. The total mortality consists of two types: the natural, and external mortality and the external mortality reflects the effects of external environmental causes. We prove the existence and uniqueness of solutions for the population dynamic model. We also derive a sufficient condition for optimal harvesting and some necessary conditions for optimality in an optimal control problem relating to the population dynamic model. The results may be applied to an optimal harvesting for some realistic biological models.

Suggested Citation

  • Yong Han Kang & Mi Jin Lee & Il Hyo Jung, 2012. "Optimal Harvesting for an Age‐Spatial‐Structured Population Dynamic Model with External Mortality," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:184815
    DOI: 10.1155/2012/184815
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    References listed on IDEAS

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    1. V. Barbu & M. Iannelli, 1999. "Optimal Control of Population Dynamics," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 1-14, July.
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