To investigate the impact of periodic and impulsive releases of sterile mosquitoes on the interactive dynamics between wild and sterile mosquitoes, we adapt the new idea where only those sexually active sterile mosquitoes are included in the modelling process and formulate new models with time delay. We consider different release strategies and compare their model dynamics. Under certain conditions, we derive corresponding model formulations and prove the existence of periodic solutions for some of those models. We provide numerical examples to demonstrate the dynamical complexity of the models and propose further studies.

中文翻译：

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无菌蚊子的脉冲释放以及具有时间延迟的互动动态。

为了研究无菌蚊子周期性和冲动释放对野生和无菌蚊子之间相互作用的影响，我们采用了新的思想，即在建模过程中仅包括那些有性活跃的无菌蚊子，并建立具有时间延迟的新模型。我们考虑不同的发布策略，并比较它们的模型动态。在某些条件下，我们导出相应的模型公式，并证明其中某些模型存在周期解。我们提供了数值示例来说明模型的动态复杂性，并提出进一步的研究。