As we all know, "summer fishing moratorium" is an internationally recognized management measure of fishery, which can protect stock of fish and promote the balance of marine ecology. In this paper, "intermittent control" is used to simulate this management strategy, which is the first attempt in theoretical analysis and the intermittence fits perfectly the moratorium. As an application, a stochastic two-prey one-predator Lotka-Volterra model with intermittent capture is considered. Modeling ideas and analytical skills in this paper can also be used to other stochastic models. In order to deal with intermittent capture in stochastic model, a new time-averaged objective function is proposed. Besides, the corresponding optimal harvesting strategies are obtained by using the equivalent method (equivalency between time-average and expectation). Theoretical results show that intermittent capture can affect the optimal harvesting effort, but it cannot change the corresponding optimal time-averaged yield, which are accord with observations. Finally, the results are illustrated by practical examples of marine fisheries and numerical simulations.

中文翻译：

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随机建模与收获模型分析：间歇控制在“夏季钓鱼禁令”中的应用

众所周知，“夏季休渔”是国际公认的渔业管理措施，可以保护鱼类资源并促进海洋生态平衡。在本文中，“间歇控制”被用来模拟这种管理策略，这是理论分析中的首次尝试，而间歇性恰好适合于暂停。作为一种应用，考虑具有间歇性捕获的随机两食饵一捕食者Lotka-Volterra模型。本文中的建模思想和分析技能也可以用于其他随机模型。为了处理随机模型中的间歇性捕获，提出了一种新的时间平均目标函数。除了，通过使用等效方法（时间平均与期望之间的等效性）获得相应的最佳收获策略。理论结果表明，间歇性捕集可以影响最佳收获量，但不能改变相应的最佳平均时间产量，这与观察结果一致。最后，通过海洋渔业的实例和数值模拟来说明结果。