Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 684-690.

• Articles • Previous Articles     Next Articles

Optimal Harvest Rate for a Population System Modeling Periodic Environment and Body Size

 HE Ze-Rong, LIU Rong, LIU Li-Li   

  1. Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018
  • Received:2012-10-08 Revised:2014-03-06 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    国家自然科学基金(11271104)资助

Abstract:

This paper is concerned with the optimal harvesting for a size-structured population model in a periodic environment.
Applying a functional approach, we demonstrate the existence of the optimal strategies, and derive the structure of the optimal controls by means of tangent and normal cones. The results pave the way for practical applications of the
model.

Key words: Environmental periodicity, Size structure, Optimal harvest,  Adjoint system, Tangent-normal cones

CLC Number: 

  • 49J20
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