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Application of optimal control strategies for the dynamics of yellow fever

机译:最优控制策略在黄热病动态中的应用

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In this article, we present an application of optimal control theory to assess the effectiveness of control measures on the dynamics of YF. We formulate and analyse a deterministic mathematical model with personal protection, educational campaign and spray of insecticides as control variables using optimal control theory and Pontryagins Maximum Principle. The optimal controls are characterized in terms of optimality system, and solved numerically for several scenarios. The results show that multiple optimal control measures is most effective strategy to bring a stable disease-free situation compared to a single control. However, spray of insecticides alone was seen as not effective without personal protection, and optimal use of personal protection alone might be beneficial to minimize transmission of the infection to the community.
机译:在本文中,我们介绍了最优控制理论的应用,以评估控制措施对YF动力学的有效性。我们使用最佳控制理论和Pontryagins最大原理,以个人防护,教育活动和杀虫剂喷雾为控制变量,制定并分析确定性数学模型。最优控制以最优系统为特征,并针对几种情况进行数值求解。结果表明,与单一控制相比,多种最佳控制措施是带来稳定无病状况的最有效策略。但是,如果没有个人防护,仅喷洒杀虫剂无效,仅个人防护的最佳使用可能有助于最大程度地减少感染向社区的传播。

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