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首页> 外文期刊>Journal of Mathematical Biology >Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control
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Modeling and dynamics of Wolbachia-infected male releases and mating competition on mosquito control

机译：Wolbachia感染男性释放的建模与动态和蚊虫控制的交配竞争

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Despite centuries of continuous efforts, mosquito-borne diseases (MBDs) remain enormous health threat of human life worldwide. Lately, the USA government has approved an innovative technology of releasing Wolbachia-infected male mosquitoes to suppress the wild mosquito population. In this paper we first introduce a stage-structured model for natural mosquitos, then we establish a new model considering the releasing of Wolbachia-infected male mosquitoes and the mating competition between the natural male mosquitoes and infected males on the suppression of natural mosquitoes. Dynamical analysis of the two models, including the existence and local stability of the equilibria and bifurcation analysis, reveals the existence of a forward bifurcation or a backward bifurcation with multiple attractors. Moreover, globally dynamical properties are further explored by using Lyapunov function and theory of monotone operators, respectively. Our findings suggest that infected male augmentation itself cannot always guarantee the success of population eradication, but leads to three possible levels of population suppression, so we define the corresponding suppression rate and estimate the minimum release ratio for population eradication. Furthermore, we study how the release ratio of infected males and natural ones, mating competition, the rate of cytoplasmic incompatibility and the basic offspring number affect the suppression rate of natural mosquitoes. Our results show that the successful eradication relies on assessing the reproductive capacity of natural mosquitoes, a selection of suitable Wolbachia strains and an appropriate release amount of infected males. This study will be helpful for public health authorities in designing proper strategies to control vector mosquitoes and prevent the epidemics of MBDs.
机译：尽管几个世纪以来的不断努力，但蚊子疾病（MBDS）仍然是全世界人寿的巨大健康威胁。最近，美国政府已批准释放Wolbachia感染的男性蚊子的创新技术，以抑制野生蚊虫人口。在本文中，我们首先向自然蚊虫介绍一个舞台结构化模型，然后我们建立了一种新的模型，考虑到Wolbachia感染的男性蚊子和自然男性蚊子和感染雄性之间的交配竞争来制定一个新的模型，对自然蚊子的抑制。两种型号的动态分析，包括均衡和分叉分析的存在和局部稳定性，揭示了前向分叉或具有多个吸引子的后退分叉的存在。此外，通过使用Lyapunov函数和单调运算符的理论，进一步探索全局动态性质。我们的研究结果表明，感染的男性增强本身不能总是保证人口根除的成功，但导致三种可能的人口抑制水平，因此我们定义了相应的抑制率并估计人口根除的最小释放比率。此外，我们研究了感染的雄性和自然的释放比如何，交配竞争，细胞质不相容率和基本后代数影响自然蚊子的抑制率。我们的研究结果表明，成功的根除依赖于评估天然蚊子的生殖能力，选择合适的Wolbachia菌株以及适当的释放量的受感染的雄性。本研究将有助于公共卫生当局设计适当的战略来控制矢量蚊子并防止MBD的流行病。

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