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一类受污染的渔业资源管理模型的最优脉冲控制
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Abstract:
本文建立了一类处于污染环境中的渔业捕捞脉冲控制模型。考虑环境受到污染后，鱼类会吸收环境中的污染物，发生持续死亡现象。同时在目标函数中加入处理受污染的鱼类的额外成本，利用最优脉冲控制原理进行理论分析，得出了该模型的最优脉冲捕获时刻和相应的种群水平，最后利用数值模拟，验证所得结论。
The paper establishes a fishing pulse control model in a polluted environment, taking into account the absorption of pollutants by fish and their subsequent mortality. Additionally, the objective function incorporates the extra cost of dealing with contaminated fish, and theoretical analysis is conducted using the optimal impulse control principle to determine the optimal capture time and corresponding population level. Finally, numerical simulation is employed to validate the conclusions.
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