Food chain models with interactions between key species are useful tools for ecological conservation and economic sustainability in commercial fisheries. In this study, we build a food chain model coupled with optimal control theory and focus on the Black Sea anchovy population in the southern part of the Black Sea. Our objective is to find the optimal harvesting strategy that maximizes the discounted net profit value of the anchovy fishery with seasonal harvesting, and that offers sustainable anchovy fishery. As a result, we obtain profitable and sustainable harvesting strategies. We also discuss the benefits of using food chain models in fishery management rather than using single‐species models. Finally, we derive a schedule for the number of fishing vessels that are needed in the implementation of the optimal harvesting strategy.

中文翻译：

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基于食物链建模框架的黑海an鱼可持续渔业最佳管理

关键物种之间相互作用的食物链模型是商业渔业中生态保护和经济可持续性的有用工具。在这项研究中，我们建立了具有最优控制理论的食物链模型，并重点研究了黑海南部的黑海Black鱼种群。我们的目标是找到最佳的捕捞策略，该策略可以通过季节性捕捞使the鱼渔业的折现净利润值最大化，并提供可持续的an鱼渔业。结果，我们获得了有利可图的可持续采伐策略。我们还将讨论在渔业管理中使用食物链模型而不是使用单一物种模型的好处。最后，我们得出了实施最佳捕捞策略所需的渔船数量的时间表。