As most natural resources, fisheries are affected by random disturbances. The evolution of such resources may be modelled by a succession of deterministic process and random perturbations on biomass and/or growth rate at random times. We analyze the impact of the characteristics of the perturbations on the management of natural resources. We highlight the importance of using a dynamic programming approach in order to completely characterize the optimal solution, we also present the properties of the controlled model and give the behavior of the optimal harvest for specific jump kernels.

中文翻译：

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随机扰动和渔业管理

与大多数自然资源一样，渔业受到随机干扰的影响。此类资源的演变可以通过一系列确定性过程和对生物量和/或随机时间的增长率的随机扰动进行建模。我们分析了扰动特征对自然资源管理的影响。我们强调了使用动态规划方法来完全表征最佳解决方案的重要性，我们还展示了受控模型的特性，并给出了特定跳跃内核的最佳收获行为。