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Control problems of an age-dependent predator-prey system

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Abstract

This paper is concerned with optimal harvesting problems for a system consisting of two populations with age-structure and interaction of predator-prey. Existence and uniqueness of non-negative solutions to the system and the continuous dependence of solutions on control variables are investigated. Existence of optimal policy is discussed, optimality conditions are derived by means of normal cone and adjoint system techniques.

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Authors and Affiliations

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

    Ze-rong He & Hai-tao Wang

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  1. Ze-rong He
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  2. Hai-tao Wang
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Correspondence to Ze-rong He.

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Supported by the National Natural Science Foundation of China (10771048) and the Research Project for Post-Graduates Creation of Zhejiang Province (YK2008054)

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He, Zr., Wang, Ht. Control problems of an age-dependent predator-prey system. Appl. Math. J. Chin. Univ. 24, 253–262 (2009). https://doi.org/10.1007/s11766-009-2104-5

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  • DOI: https://doi.org/10.1007/s11766-009-2104-5

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