In this paper, we study a non-autonomous delay mosquito population suppression model where the birth process of wild mosquitoes is density dependent due to the intra-specific competition of larvae. We only include the sexually active sterile mosquitoes in the model such that the number of sterile mosquitoes released is treated as a nonnegative function given in advance. We determine a release threshold value for the sterile mosquitoes and investigate the model dynamics based on the threshold value. We obtain sufficient conditions for the global asymptotic stability of the origin in a more general setting. We also give an example to illustrate our main results.

中文翻译：

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非自主延迟蚊子种群抑制模型中的全局渐近稳定性

在本文中，我们研究了一种非自主延迟蚊子种群抑制模型，其中由于幼虫的种内竞争，野生蚊子的出生过程是密度依赖的。我们只在模型中包含性活跃的不育蚊子，这样释放的不育蚊子的数量被视为预先给定的非负函数。我们确定不育蚊子的释放阈值，并根据阈值研究模型动态。我们在更一般的环境中获得了原点全局渐近稳定性的充分条件。我们还给出了一个例子来说明我们的主要结果。