论文标题

无菌蚊子技术的最佳控制策略

Optimal control strategies for the sterile mosquitoes technique

论文作者

Almeida, Luís, Duprez, Michel, Privat, Yannick, Vauchelet, Nicolas

论文摘要

蚊子负责传播许多疾病,例如登革热,Zika或Chigungunya。控制这些疾病传播的一种方法是使用无菌昆虫技术(SIT),该技术包括大量释放灭菌的雄性蚊子。该策略旨在随着时间的推移减少总人口,并且具有针对靶向物种的优势,与使用农药不同。在本文中,我们研究了最佳释放策略,以最大程度地提高该技术的效率。我们考虑描述鸡蛋,男性,女性和女性和无菌男性的动态,以最大程度地说明释放协议。我们以一种精确的方式确定最佳策略,这使我们能够以非常简单的方式在数值上解决基本优化问题。我们还提供了一些数值模拟,以说明我们的结果。

Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigungunya. One way to control the spread of these diseases is to use the sterile insect technique (SIT), which consists in a massive release of sterilized male mosquitoes. This strategy aims at reducing the total population over time, and has the advantage being specific to the targeted species, unlike the use of pesticides.In this article, we study the optimal release strategies in order to maximize the efficiency of this technique.We consider simplified models that describe the dynamics of eggs, males, females and sterile males in order to optimize the release protocol. We determine in a precise way optimal strategies, which allows us to tackle numerically the underlying optimization problem in a very simple way. We also present some numerical simulations to illustrate our results.

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