Results of this paper discuss a new class of nonlinear generalized Gilpin–Ayala competitive model with feedback control. Prior to the main results and using different approach, we prove the uniformly permanence of the solutions of the proposed model. Moreover, we study the existence of pseudo almost periodic solutions via the technique of Krasnoselskii’s fixed point Theorem. By constructing an appropriate Lyapunov function, we discuss the globally exponential stability of the pseudo almost periodic solutions. To demonstrate the validity of the theoretical findings, we present a numerical example associated with a graphical representation. The advantage of our results are verified by a comparison session at the end of the paper.

本文的结果讨论了一类新的带有反馈控制的非线性广义Gilpin–Ayala竞争模型。在获得主要结果之前，并使用不同的方法，我们证明了所提出模型的解的一致持久性。此外，我们通过Krasnoselskii不动点定理的技术研究伪几乎周期解的存在。通过构造适当的Lyapunov函数，我们讨论了伪几乎周期解的全局指数稳定性。为了证明理论发现的正确性，我们提供了一个与图形表示相关的数值示例。本文结尾处的一次比较会议验证了我们结果的优势。