论文标题
无菌昆虫技术的控制策略，使用指数减少发行版，以避免发触发效果
A control strategy for Sterile Insect Techniques using exponentially decreasing releases to avoid the hair-trigger effect
论文作者
论文摘要
在本文中，我们引入了一种控制策略，用于应用无菌昆虫技术（SIT），以消除埃德斯蚊子的种群，这些蚊子是各种致命疾病的媒介，例如登革热，Zika，chikungunya ...在广阔地区。我们使用反应扩散方程的系统来对蚊子种群进行建模并研究释放无菌雄性的效果。由于所谓的发触发效应，只有少数人引入了一段时间后会导致整个地区的蚊子入侵。为了避免这种现象，我们的策略是继续在处理区域中释放少量的无菌雄性，并向前移动该释放，以推回野生蚊子的侵入性锋线。通过证明该系统的比较原则并使用波动波分析，我们在本文中表明，该策略通过有限数量的无菌男性蚊子成功。我们还为结果提供了一些数值插图。
In this paper, we introduce a control strategy for applying the Sterile Insect Technique (SIT) to eliminate the population of Aedes mosquitoes which are the vectors of various deadly diseases like dengue, zika, chikungunya... in a wide area. We use a system of reaction-diffusion equations to model the mosquito population and study the effect of releasing sterile males. Due to the so-called hair-trigger effects, the introduction of only a few individuals can lead to the invasion of mosquitoes in the whole region after some time. To avoid this phenomenon, our strategy is to keep releasing a small number of sterile males in the treated zone and move this release forward to push back the invasive front of wild mosquitoes. By proving a comparison principle for the system and using the traveling wave analysis, we show in the present paper that the strategy succeeds with a finite amount of sterile male mosquitoes. We also provide some numerical illustrations for our results.
