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Optimal impulsive harvesting strategy of a stochastic Gompertz model in periodic environments
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2021-10-12 , DOI: 10.1016/j.aml.2021.107733
Zhaojuan Wang 1 , Meng Liu 1
Affiliation  

This research focuses on optimal impulsive harvesting strategy of a stochastic Gompertz model with periodic coefficients. By investigating the associated Hamilton function, the explicit expressions of the optimal impulsive effort, the maximum annual yield and the expectation of the optimal population level are provided. The theoretical results are also utilized to investigate the optimal impulsive harvesting strategy of scallop (Pecten maximus) fishery in the Saint Brieuc Bay, France.



中文翻译:

周期性环境下随机 Gompertz 模型的最优脉冲收获策略

本研究侧重于具有周期系数的随机 Gompertz 模型的最佳脉冲收获策略。通过研究相关的Hamilton函数,给出了最优冲动努力、最大年产量和最优种群水平期望的显式表达式。理论结果还用于研究法国圣布里厄湾扇贝(Pecten maximus)渔业的最佳脉冲捕捞策略。

更新日期:2021-11-07
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