In this paper, a stochastic prey-predator model is investigated and analyzed, which possesses foraging arena scheme in polluted environments. Sufficient conditions are established for the extinction and persistence in the mean. These conditions provide a threshold that determines the persistence in the mean and extinction of species. Furthermore, it is also shown that the stochastic system has a periodic solution under appropriate conditions. Finally, several numerical examples are carried on to demonstrate the analytical results.

中文翻译：

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污染环境下具有觅食场所的食饵-捕食者模型的动力学行为

本文研究和分析了一个在污染环境下具有觅食场所的随机食饵-捕食者模型。为平均值的消失和持久性建立了充分的条件。这些条件提供了确定物种均值和灭绝的持久性的阈值。此外，还显示出随机系统在适当条件下具有周期解。最后，通过几个数值例子说明了分析结果。