The paper deals with the harvesting model introduced by one of the authors in a joint paper with A. Bressan and W. Shen. A cost term which plays an essential role in the existence proof is removed here leading to some new phenomena. Since a solution not always exists in this case, we propose a relaxed version of the problem which is always solvable, has a geometrical interpretation in the functions space and whose unique solution, under suitable conditions, solves also the original problem. Finally, the notion of strategy limit of a sequence of smooth measures is introduced as a long-term control to fish populations.

中文翻译：

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衡量最佳收获问题的有价值的解决方案

本文讨论了其中一位作者与A. Bressan和W. Shen共同发表的论文中介绍的收割模型。在存在证据中起关键作用的成本术语在这里被删除，从而导致一些新现象。由于在这种情况下并不总是存在解决方案，因此我们提出了一个易于解决的问题的轻松版本，该问题在函数空间中具有几何解释，并且在合适的条件下，其唯一的解决方案也可以解决原始问题。最后，引入一系列平滑措施的策略极限的概念，作为对鱼类种群的长期控制。