This paper proposes an $\omega$-periodic version of the Ellermeyer model of delayed chemostat. We obtain a sufficient condition ensuring the existence of a positive $\omega$-periodic solution. Our proof is based on the application of the generalized continuation theorem. In addition, as a consequence of the implicit function theorem, we obtain a uniqueness result for sufficiently small delays.

中文翻译：

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存在的 $\omega$周期输入的延迟化解器的非周期解

本文提出了一个 $\omega$的Chemostat的Ellermeyer模型的周期性版本。我们获得了充分的条件，以确保存在积极的$\omega$周期解决方案。我们的证明是基于广义连续性定理的应用。另外，作为隐函数定理的结果，我们获得了足够小的延迟的唯一性结果。