采用最优控制策略对新冠病毒传播进行数学建模。
Mathematical modeling of the spread of the COVID'19 with optimal control strategies.
作者信息
Maryam Riouali, Fouad Lahmidi, Imane Elbarrai, Abdelwahe Namir
机构信息
Laboratory of Analysis, Modeling and Simulation, Hassan II University, Faculty of Sciences Ben M'sik, B.P 7955, Casablanca, Morocco.
Laboratory of Information, Technology and Modeling, Hassan II University, Faculty of Sciences Ben M'sik, B.P 7955, Casablanca, Morocco.
出版信息
Procedia Comput Sci. 2022;203:481-485. doi: 10.1016/j.procs.2022.07.066. Epub 2022 Aug 12.
In this work, we formulated an SEQIRS mathematical model with four control variables, which describes the spread of the coro-navirus in a community. An optimal control problem was well introduced in order to verify the existence of optimal controls that minimize susceptible, exposed, and infected individuals. Also, we use Pontryagin's Maximum Principle to characterize the optimal control strategies to minimize the spread dynamics of the COVID'19.
在这项工作中，我们构建了一个具有四个控制变量的SEQIRS数学模型，该模型描述了冠状病毒在社区中的传播情况。为了验证存在使易感、暴露和感染个体数量最小化的最优控制，我们引入了一个最优控制问题。此外，我们运用庞特里亚金极大值原理来刻画最优控制策略，以最小化COVID-19的传播动态。
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