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An optimal control analysis of a COVID-19 model
Alexandria Engineering Journal ( IF 6.8 ) Pub Date : 2021-01-23 , DOI: 10.1016/j.aej.2021.01.022
Muhammad Zamir , Thabet Abdeljawad , Fawad Nadeem , Abdul Wahid , Ali Yousef

This paper aims to explore the optimal control of the novel pandemic COVID-19 using non-clinical approach. We formulate a mathematical model to analyze the transmission of the infection through different human compartments. By applying a sensitivity test, we obtain the sensitivity indexes of the parameters involved in the transmission of the disease. We demonstrate the most active/sensitive parameters to analyze the spread of the coronavirus COVID-19. The most active transmission parameters are interposed by introducing control variables. The control intervention is in the form of smart lockdown, frequent handwash, control of the disease’s side effects, face mask, and sanitizer. We Formulate Hamilton and Lagrangian to investigate the existence of the optimal control. Pontryagin’s Maximum Principle describes the control variables in the optimal control model. The objective function is designed to reduce both the infection and the cost of interventions. We use numerical simulation to verify the results of the control variables by Matlab 2019.



中文翻译:

COVID-19模型的最优控制分析

本文旨在探索使用非临床方法对新型大流行COVID-19的最佳控制。我们制定了一个数学模型来分析感染通过不同的人区室的传播。通过应用敏感性测试,我们获得了与疾病传播有关的参数的敏感性指数。我们展示了最活跃/最敏感的参数来分析冠状病毒COVID-19的传播。通过引入控制变量来插入最活跃的传输参数。控制干预的形式为智能锁定,频繁洗手,控制疾病的副作用,面罩和消毒剂。我们制定汉密尔顿和拉格朗日研究最优控制的存在。庞特里亚金的最大原理描述了最优控制模型中的控制变量。目标功能旨在减少感染和干预成本。我们使用数值模拟来验证Matlab 2019的控制变量结果。

更新日期:2021-02-07
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