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Optimal Birth Control for an Age-Dependent Competition System of N Species

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Abstract

In this paper, we investigate optimal policies for an age-dependent n-dimensional competition system, which is controlled by fertility. By using Dubovitskii-Milyutin’s general theory, the maximum principles are obtained for the problems with free terminal states, infinite horizon, and target sets, respectively.

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Authors and Affiliations

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

    Zhixue Luo

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  1. Zhixue Luo
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Correspondence to Zhixue Luo.

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The work is supported by ‘Qing Lan’ Talent Engineering Funds (QL-05-18A) by Lanzhou Jiaotong University and the National Natural Science Foundation of China under Grant No. 604730304.

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Luo, Z. Optimal Birth Control for an Age-Dependent Competition System of N Species. Jrl Syst Sci & Complex 20, 403–415 (2007). https://doi.org/10.1007/s11424-007-9036-z

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  • DOI: https://doi.org/10.1007/s11424-007-9036-z

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