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Optimal harvesting control problem for linear age-dependent population dynamics

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Abstract

An optimal harvesting problem for linear age-dependent population dynamics is investigated. By Mazur’s Theorem, the existence of solutions of the optimal control problem (OH) is demonstrated. The first order necessary conditions of optimality for problem (OH) is obtained by the conception of normal cone. Finally, under suitable assumptions, the uniqueness of solutions of the optimal control problem (OH) is given. The results extend some known criteria.

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Authors and Affiliations

  1. Dept. of Math., Xi’an Jiaotong Univ., 710049, Xi’an, China

    Luo Zhixue & Wang Miansen

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  1. Luo Zhixue
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  2. Wang Miansen
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Supported by the National Natural Science Foundation of China (19971066).

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Luo, Z., Wang, M. Optimal harvesting control problem for linear age-dependent population dynamics. Appl. Math. Chin. Univ. 18, 412–420 (2003). https://doi.org/10.1007/s11766-003-0068-4

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  • DOI: https://doi.org/10.1007/s11766-003-0068-4

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