基于IIT的人口更替最小费用时间策略
Minimal cost-time strategies for population replacement using the IIT
摘要：
病媒控制在防治病媒传播疾病，特别是虫媒病毒方面发挥着核心作用。内共生细菌沃尔巴克氏体的使用已被证明可以有效防止其中一些病毒在蚊子和人类之间的传播，使其成为一种有前途的控制工具。不相容昆虫技术（IIT）包括用携带上述细菌的种群取代野生种群，从而防止相关病媒传播疾病的爆发。在这项工作中，我们考虑了两个物种的模型，将沃尔巴克氏体感染和野生蚊子。我们的系统可以得到控制，这要归功于一个代表人工引入沃尔巴克氏体感染蚊子的术语。在假设蚊子的出生率很高的情况下，我们可以将模型简化为一个关于受感染蚊子比例的简单模型。我们研究了最小成本-时间策略，以实现人口替代的分析和数值的简化一维模型和只有数值的完整的二维系统
英文摘要：
Vector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium Wolbachia has proven effective in preventing the transmission of some of these viruses between mosquitoes and humans, making it a promising control tool. The Incompatible Insect Technique (IIT) consists in replacing the wild population by a population carrying the aforementioned bacterium, thereby preventing outbreaks of the associated vector-borne diseases. In this work, we consider a two species model incorporating both Wolbachia infected and wild mosquitoes. Our system can be controlled thanks to a term representing an artificial introduction of Wolbachia-infected mosquitoes. Under the assumption that the birth rate of mosquitoes is high, we may reduce the model to a simpler one on the proportion of infected mosquitoes. We investigate minimal cost-time strategies to achieve a population replacement both analytically and numerically for the simplified 1D model and only numerically for the full 2D system
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