种群更替的空间控制策略的Optimization，对沃尔巴克氏体的应用
Optimization of spatial control strategies for population replacement, application to Wolbachia
摘要：
在这篇文章中，我们感兴趣的是分析和模拟的解决方案的最优控制问题的人口动态问题的动机。为了控制蚊子传播的虫媒病毒的传播，种群替换技术包括将感染沃尔巴克氏体细菌的蚊子释放到环境中，这大大减少了病毒对人类的传播。然后以感染的蚊子种群侵入未感染的蚊子种群的方式寻求空间释放。假设非常高的蚊子繁殖率，我们首先引入一个渐近模型的感染蚊子的比例，然后一个最优控制问题，以确定最佳的空间策略，以实现这些释放。然后，我们分析这个问题，包括自然候选人的最优性，并在一维空间进行第一次数值模拟，以说明我们的方法的相关性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
