In this paper, we aim to investigate the influence of delay on the global attractivity of a tick population dynamics model incorporating two distinctive time-varying delays. By exploiting some differential inequality techniques and with the aid of the fluctuation lemma, we first prove the persistence and positiveness for all solutions of the addressed equation. Consequently, a delay-dependent criterion is derived to assure the global attractivity of the positive equilibrium point. And lastly, some numerical simulations are presented to verify that the obtained results improve and complement some existing ones.

中文翻译：

---

包含两个不同时变延迟的蜱种群动态模型的延迟相关吸引力

在本文中，我们旨在研究延迟对包含两个不同时变延迟的蜱种群动态模型的全局吸引力的影响。通过利用一些微分不等式技术并借助波动引理，我们首先证明了所解决方程的所有解的持久性和正性。因此，导出了一个延迟相关的标准，以确保正平衡点的全局吸引力。最后，给出了一些数值模拟，以验证所获得的结果对一些现有结果的改进和补充。