论文标题
优化人口更换的空间控制策略，适用于沃尔巴奇
Optimization of spatial control strategies for population replacement, application to Wolbachia
论文作者
论文摘要
在本文中，我们对通过人口动态问题激发的最佳控制问题的解决方案的分析和模拟感兴趣。为了控制蚊子 - 传播的arboviruses的扩散，种群替代技术包括释放到感染了沃尔巴氏菌细菌的环境蚊子，这大大降低了病毒向人类的传播。然后寻求空间释放的方式，使感染的蚊子人口入侵未感染的蚊子。假设蚊子繁殖率很高，我们首先在感染蚊子的比例上引入了一个渐近模型，然后引入了最佳控制问题，以确定获得这些释放的最佳空间策略。然后，我们分析了这个问题，包括自然候选者的最佳性，并在空间的一个维度上进行第一个数值模拟，以说明我们方法的相关性。
In this article, we are interested in the analysis and simulation of solutions to an optimal control problem motivated by population dynamics issues. In order to control the spread of mosquito-borne arboviruses, the population replacement technique consists in releasing into the environment mosquitoes infected with the Wolbachia bacterium, which greatly reduces the transmission of the virus to the humans. Spatial releases are then sought in such a way that the infected mosquito population invades the uninfected mosquito population. Assuming very high mosquito fecundity rates, we first introduce an asymptotic model on the proportion of infected mosquitoes and then an optimal control problem to determine the best spatial strategy to achieve these releases. We then analyze this problem, including the optimality of natural candidates and carry out first numerical simulations in one dimension of space to illustrate the relevance of our approach.
