In this paper, we are concerned with a non-autonomous competing model with time delays and feedback controls. Applying the comparison theorem of differential equations and by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the existence of a unique globally asymptotically stable nonnegative almost periodic solution of the system are established. An example with its numerical simulations is given to illustrate the feasibility of our results.

中文翻译：

---

具有时变时滞和反馈控制的非自治竞争模型几乎周期解的全局渐近稳定性。

在本文中，我们关注具有时间延迟和反馈控制的非自治竞争模型。应用微分方程的比较定理，并通过构建合适的Lyapunov泛函，建立了一些足以保证系统存在唯一全局渐近稳定的非负几乎周期解的充分条件。给出了一个带有数值模拟的例子来说明我们的结果的可行性。