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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2015, Vol. 30 Issue (2): 171-179    DOI:
    
Optimal harvesting of a discrete size-structured model constrained by ecological balance
HE Ze-rong, WU Peng, ZHOU Juan
Institute of Operational Research and Cybernetics, Hangzhou Dianzi Univ., Hangzhou 310018, China
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Abstract  This article is concerned with an optimal harvesting problem for a population model, which is based on expanded Leslie’s project matrix and incorporates an ecological balance and exploitation costs. By means of convex optimization method, the existence of optimal policies is shown and the harvesting ratio is specified. It is demonstrated that the optimal strategies are of two-staged form.

Key words： size-structure      generalized Leslie’s model      optimal harvesting      convex optimization      two-staged strategy     
Received: 03 August 2014      Published: 05 June 2018
CLC:  O175.14  
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HE Ze-rong
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Cite this article:

HE Ze-rong, WU Peng, ZHOU Juan. Optimal harvesting of a discrete size-structured model constrained by ecological balance. Applied Mathematics A Journal of Chinese Universities, 2015, 30(2): 171-179.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2015/V30/I2/171


生态平衡制约下离散尺度结构种群的最优收获

研究基于扩展 Leslie 投影矩阵的离散尺度结构种群模型的最优收获问题, 约束条件包括生态平衡和开发成本等. 运用凸优化理论证明了最优收获策略的存在性,导出了最优收获模式, 应用模型参数给出了收获比率. 结论显示: 最优策略具有两阶段结构.

关键词： 尺度结构,  广义 Leslie 模型,  最优收获,  凸优化,  两阶段策略 
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