Modeling Wolbachia Spread in Mosquitoes Through Delay Differential Equations
Modeling Wolbachia Spread in Mosquitoes Through Delay Differential Equations
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DOI：
10.1137/13093354x
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发表时间：
2014-06
期刊：
影响因子：
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通讯作者：
Bo Zheng;M. Tang;Jianshe Yu
中科院分区：
文献类型：
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作者：
Bo Zheng;M. Tang;Jianshe Yu
登革热是最常见的蚊媒病毒性疾病。一种有希望的控制策略是针对蚊子媒介埃及伊蚊，释放被内共生细菌沃尔巴克氏菌感染的蚊子，以入侵和取代野生种群。通过感染，沃尔巴克氏菌降低了蚊子传播登革热的潜力，并通过细胞质不相容为受感染的雌性蚊子带来了繁殖优势。由于沃尔巴克氏菌经常导致健康成本，因此分析繁殖优势如何抵消健康成本对于种群更替的成功是很重要的。在这项工作中，我们建立了一个延迟微分方程模型来研究沃尔巴克氏菌感染动力学。我们证明，当感染不改变平均寿命时，只要感染频率严格高于阈值不少于生殖前时间，沃尔巴克氏菌就可以传播到整个种群。对于其他情况，我们发现这样的阈值不能很好地定义。
Dengue fever is the most common mosquito-borne viral disease. A promising control strategy targets the mosquito vector Aedes aegypti by releasing the mosquitoes infected by the endosymbiotic bacterium Wolbachia to invade and replace the wild population. With infection, Wolbachia reduces the mosquito's dengue transmission potential and brings infected females a reproductive advantage through cytoplasmic incompatibility. As Wolbachia often induces fitness costs, it is important to analyze how the reproductive advantage offsets the fitness costs for the success of population replacement. In this work, we develop a model of delay differential equations to study Wolbachia infection dynamics. We prove that, when the infection does not alter the mean life span, Wolbachia can spread into the whole population as long as the infection frequency stays strictly above a threshold value for a period no less than the prereproductive time $\tau$. For the other cases, we find that such a threshold value cannot be well def...