The importance of prediction for genetic regulatory network (GRNs) makes mathematical modeling a prominent tool. In this paper, we consider weighted pseudo-almost periodic solutions for a class of GRNs with time-varying delays. We establish the existence, uniqueness, and global exponential stability by employing the theory of dichotomy, the fixed point theorem, and differential inequality. A numerical example along with a graphical illustration are presented to support our main results. Our results extend existing GRNs models using almost periodic functions to support a wider range of regulatory processes.

中文翻译：

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具有时变延迟的遗传调控网络加权伪几乎周期解的存在性和指数稳定性

遗传调控网络 (GRN) 预测的重要性使得数学建模成为一个重要的工具。在本文中，我们考虑了一类具有时变延迟的 GRN 的加权伪几乎周期解。我们利用二分法、不动点定理和微分不等式理论建立了存在性、唯一性和全局指数稳定性。为了支持我们的主要结果，我们提供了一个数字示例和一个图形说明。我们的结果使用几乎周期性的函数扩展了现有的 GRN 模型，以支持更广泛的监管过程。