In this paper we consider periodic solutions for the degenerate Lotka–Volterra competition system. We use the iteration method and energy method to prove the existence of periodic solutions. Furthermore, we give some numerical simulations and explicit solutions to verify our theoretical results. As far as we know, there are no results about the periodic solutions for degenerate Lotka–Volterra competition system before the present work.

中文翻译：

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退化的Lotka–Volterra竞争系统的周期解

在本文中，我们考虑退化的Lotka–Volterra竞争系统的周期解。我们使用迭代法和能量法来证明周期解​​的存在。此外，我们提供了一些数值模拟和显式解来验证我们的理论结果。据我们所知，在目前的工作之前，尚无关于退化的Lotka–Volterra竞争系统的周期解的结果。