论文标题
对具有持久杀虫剂治疗的网的疟疾模型的最佳控制
Optimal Control of a Malaria Model with Long-Lasting Insecticide-Treated Nets
论文作者
论文摘要
一种具有非治疗控制措施的确定性多阶段疟疾模型，使用和分析了蚊子床网的使用。模型的基本繁殖数是得出的，分析结果表明，当满足某些阈值条件时，模型平衡在局部和全球渐近稳定。 Pontryagin相对于时间依赖常数的最大原理用于得出最佳使用持久杀虫剂处理的床网（LLIN）的必要条件，以减轻疟疾的传播动力学。这是通过引入生物学上可接受的控制和E-Approximate次优控制来实现的。这项研究的结果可以帮助公共卫生规划师和政策决策者设计可及的预防疟疾预防计划“接近”最佳策略。
A deterministic multi-stage malaria model with a non-therapeutic control measure, the use of mosquito bednet is formulated and analyzed. The model basic reproduction number is derived, and analytical results show that the models equilibria are locally and globally asymptotically stable when certain threshold conditions are satisfied. Pontryagin's Maximum Principle with respect to a time dependent constant is used to derive the necessary conditions for the optimal usage of the Long-Lasting Insecticide-treated bednets(LLINs) to mitigate the malaria transmission dynamics. This is accomplished by introducing biologically admissible control and e-approximate sub-optimal control. The results from this study could help public health planners and policy decision-makers to design reachable and more practical malaria prevention programs "close" to the optimal strategy.
