论文标题
使用IIT的最小成本时间策略用于替代人口
Minimal cost-time strategies for population replacement using the IIT
论文作者
论文摘要
向量控制在打击媒介传播疾病，尤其是arboviruses的斗争中起着核心作用。事实证明，内共生细菌的使用有效防止蚊子和人类之间的某些病毒传播，使其成为有前途的控制工具。不兼容的昆虫技术（IIT）包括通过携带上述细菌的种群代替野生种群，从而防止了相关的载体传播疾病的爆发。在这项工作中，我们考虑了一个两种模型，这些模型既有感染沃尔巴氏菌和野生蚊子。由于代表了沃尔巴奇感染的蚊子的人工引入的术语，我们的系统可以受到控制。假设蚊子的出生率很高，我们可以根据感染蚊子的比例将模型减少到更简单的模型。我们研究了最小的成本时间策略，以在分析和数值上以简化的1D模型进行分析和数值替换，并且仅用于整个2D系统
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
