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Optimal harvesting for an age-dependent n-dimensional food chain model

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Abstract

This paper is concerned with optimal harvesting policy for an age-dependent n-dimensional food chain model. The existence and uniqueness of non-negative solution of the system are proved using the fixed point theorem. By Mazur’s theorem, the existence of optimal control strategy is demonstrated and optimality conditions derived by means of normal cone.

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Authors and Affiliations

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, 730070, P. R. China

    Zhi-xue Luo  (雒志学) & Ming-yin Du  (杜明银)

  2. Faculty of Science, Hangzhou Institute of Electronic Engineering, Hangzhou, 310018, P. R. China

    Zhi-xue Luo  (雒志学)

Authors
  1. Zhi-xue Luo  (雒志学)
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  2. Ming-yin Du  (杜明银)
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Corresponding author

Correspondence to Zhi-xue Luo  (雒志学).

Additional information

Communicated by GUO Xing-ming

Project supported by the National Natural Science Foundation of China (No. 10771048) and ‘Qing Lan’ Talent Engineering Funds of Lanzhou Jiaotong University (No. QL-05-18A)

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Luo, Zx., Du, My. Optimal harvesting for an age-dependent n-dimensional food chain model. Appl. Math. Mech.-Engl. Ed. 29, 683–695 (2008). https://doi.org/10.1007/s10483-008-0512-y

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  • DOI: https://doi.org/10.1007/s10483-008-0512-y

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2000 Mathematics Subject Classification

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