Based on the theory of the Ornstein–Uhlenbeck process and random dynamical system, in this paper, a random chemostat model driven by colored noise is considered. First, we prove the existence and uniqueness of the global positive solution for random chemostat system, and we also state some conclusions about the existence of random pullback attractor. Finally, some conclusions are given.

中文翻译：

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用于有色噪声驱动的随机化石模型的回拉吸引器

基于Ornstein–Uhlenbeck过程和随机动力学系统的理论，本文考虑了由有色噪声驱动的随机Chemostat模型。首先，我们证明了随机恒化器系统的整体正解的存在性和唯一性，并就随机回撤吸引子的存在性提出了一些结论。最后，给出了一些结论。