Understanding mosquitoes life cycle is of great interest presently because of the increasing impact of vector borne diseases in several countries. There is evidence of oscillations in mosquito populations independent of seasonality, still unexplained, based on observations both in laboratories and in nature. We propose a simple mathematical model of egg hatching enhancement by larvae which produces such oscillations that conveys a possible explanation. We propose both a theoretical analysis, based on slow–fast dynamics and Hopf bifurcation, and numerical investigations in order to shed some light on the mechanisms at work in this model.

中文翻译：

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具有卵孵化的幼虫反馈的蚊子种群模型中的振荡机制。

由于媒介传播疾病在几个国家的影响越来越大，目前了解蚊子的生命周期非常重要。根据实验室和自然界的观察，有证据表明蚊子种群的振荡与季节无关，尚无法解释。我们提出了一个由幼虫增强卵孵化的简单数学模型，该模型会产生这种振荡，从而传达出可能的解释。我们提出了基于慢-快动力学和Hopf分支的理论分析，以及数值研究，以阐明该模型的工作机理。