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On the optimal harvesting of size-structured population dynamics

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Abstract

This work is concerned with a kind of optimal control problem for a size-structured biological population model. Well-posedness of the state system and an adjoint system are proved by means of Banach’s fixed point theorem. Existence and uniqueness of optimal control are shown by functional analytical approach. Optimality conditions describing the optimal strategy are established via tangent and normal cones technique. The results are of the first ones for this novel structure.

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Authors and Affiliations

  1. Department of mathematics, Zhejiang University, Hangzhou, 310027, China

    Yan Liu & Xiao-liang Cheng

  2. Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou, 310018, China

    Ze-rong He

Authors
  1. Yan Liu
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  2. Xiao-liang Cheng
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  3. Ze-rong He
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Corresponding author

Correspondence to Yan Liu.

Additional information

Supported by the ZPNSFC(LY12A01023) and the National Natural Science Foundation of China (11271104, 11061017).

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Liu, Y., Cheng, Xl. & He, Zr. On the optimal harvesting of size-structured population dynamics. Appl. Math. J. Chin. Univ. 28, 173–186 (2013). https://doi.org/10.1007/s11766-013-2965-5

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  • DOI: https://doi.org/10.1007/s11766-013-2965-5

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