蚊虫不育技术的最优控制策略
Optimal control strategies for the sterile mosquitoes technique
摘要：
蚊子是许多疾病的传播者，如登革热、寨卡病毒或奇贡亚病。控制这些疾病传播的一种方法是使用不育昆虫技术（SIT），即大量释放不育的雄性蚊子。这种策略的目的是减少总人口随着时间的推移，并具有特定的目标物种的优势，不像使用pesticides.In this article，我们研究的最佳释放策略，以最大限度地提高这种技术的效率.我们考虑简化模型，描述动态的鸡蛋，男性，女性和不育男性，以优化释放协议。我们以精确的方式确定最优策略，这使我们能够以非常简单的方式在数值上处理基本的最优化问题。我们还提出了一些数值模拟来说明我们的结果。
英文摘要：
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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