ABSTRACT

In this paper, we first investigate a stochastic two-predators one-prey model with Lévy noise and distributed delays. The global dynamical behaviour is discussed. The criteria on the existence of global positive solutions, stochastic boundedness, extinction and global asymptotic stability in the mean with probability one are established. And then, the harvesting for each species is introduced to the model. The optimal harvesting strategy and the maximum of expectation of sustainable yield (MESY, for short) are further established.

中文翻译：

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具有随机分布的时滞和Lévy噪声的随机两个捕食者一猎物系统的全局动力学和最优收获。

摘要

在本文中，我们首先研究具有Lévy噪声和分布时滞的随机二食饵一食饵模型。讨论了全局动力学行为。建立了整体正解的存在性，随机有界性，灭绝和整体渐近稳定的平均概率为1的准则。然后，将每种物种的采伐引入模型。进一步确定了最佳的收获策略和对可持续产量的最大期望值（简称MESY）。