Mosquito-borne diseases pose a great threat to humans' health. Wolbachia is a promising biological weapon to control the mosquito population, and is not harmful to humans' health, environment, and ecology. In this work, we present a stage-structure model to investigate the effective releasing strategies for Wolbachia-infected mosquitoes. Besides some key factors for Wolbachia infection, the CI effect suffering by uninfected ova produced by infected females, which is often neglected, is also incorporated. We analyze the conditions under which Wolbachia infection still can be established even if the basic reproduction number is less than unity. Numerical simulations manifest that the threshold value of infected mosquitoes required to be released at the beginning can be evaluated by the stable manifold of a saddle equilibrium, and low levels of MK effect, fitness costs, as well as high levels of CI effect and maternal inheritance all contribute to the establishment of Wolbachia-infection. Moreover, our results suggest that ignoring the CI effect suffering by uninfected ova produced by infected females may result in the overestimation of the threshold infection level for the Wolbachia invasion.

中文翻译：

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蚊子种群的Wolbachia感染动力学，其CI效应受感染女性产生的未感染卵的影响

蚊媒疾病对人类健康构成了巨大威胁。沃尔巴氏菌是控制蚊子数量的有前途的生物武器，对人类的健康，环境和生态无害。在这项工作中，我们提出了一个阶段结构模型来调查感染沃尔巴克氏菌的蚊子的有效释放策略。除了感染沃尔巴克氏菌的一些关键因素外，还合并了通常被忽视的，受感染女性产生的未感染卵所引起的CI效应。我们分析了沃尔巴克氏菌的条件即使基本繁殖数少于一，仍然可以确定感染。数值模拟表明，可以通过稳定的鞍形平衡，低水平的MK效应，适应性成本以及高水平的CI效应和母体遗传来评估需要释放的被感染蚊子的阈值。所有这些都有助于建立Wolbachia感染。此外，我们的结果表明，忽略感染的雌性所产生的未感染卵所引起的CI效应可能会导致高估Wolbachia入侵的阈值感染水平。