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Mathematical modeling to design public health policies for Chikungunya epidemic using optimal control

机译：利用最优控制设计数学建模，以利用最优控制设计Chikungunya疫情的公共卫生政策

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In this article, we study the control of a Chikungunya epidemic model solving several optimal control problems. We implement three strategies to control the spread of the Chikungunya virus in the human and vector population. The first control strategy is an educational campaign promoting the use bednets, avoiding water stagnation, wearing long sleeved shirts, among others. The second is treatment of the infected individual, and the third relies on spraying insecticide. The optimal control problem that we solve has a mathematical model for Chikungunya representing the control system. We rely on Pontryagin's maximum principle to solve the optimal control problem. For the mathematical model of the Chikungunya epidemic, we use the incidence data from Colombia corresponding to the year 2015. An additional aim of this study is to investigate which control measures are more efficient and suggest policies to health institutions to reduce the number of infected individuals. Although the mathematical model fits real data of the Colombian case, the policies and insights presented in this article might be extrapolated to different countries.
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