In this paper, we develop a stochastic Holling type II model from the commonly used deterministic Holling type II model by introducing Brownian motion as a stochastic perturbation, which can naturally account for the external environmental effects on a multispecies community. We study the existence and uniqueness of positive solutions to the stochastic model, and we establish sufficient conditions for strong persistence and extinction.

中文翻译：

---

随机多种群Holling II型模型正解的存在性与渐近性

在本文中，我们通过引入布朗运动作为随机扰动，从常用的确定性Holling II型模型中发展了一个随机Holling II型模型，这自然可以解释外部环境对多物种群落的影响。我们研究了随机模型的正解的存在性和唯一性，并为充分的持久性和消灭性建立了充分的条件。