中文摘要：

考虑了一类营养的转化率受到随机噪声干扰，具有HollingII型功能性反应函数的随机恒化器模型．通过构造Liapunov数，利用停时、伊藤公式证明了模型正解的全局存在唯一性．研究了模型解的长期渐近性态，主要揭示在不同条件下模型的解围绕其相应确定性模型的各类平衡点的振荡行为．

英文摘要：

In this paper, a stochastic chemostat model with Holling II functional response and the nutrition conversion rate being influenced by white noise is considered. By constructing stochastic Liapunov function and using stopping time and Ito＇s formula, it is shown that there is an unique positive solution to the system with positive initial value. The long time behavior of the system is studied. Mainly, how the solution goes around the equilibriums of the corresponding deterministic system under different conditions is disclosed.