印度尼西亚COVID-19传播防控的优化控制

IF 0.8 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/7820

J. Nainggolan, J. Harianto, H. Tasman

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引用次数: 3

摘要

在本文中，我们使用流行病学模型分析了COVID-19在印度尼西亚的传播。我们在模型中考虑了有症状和无症状的感染。在有症状感染和无症状感染的情况下，我们分析了模型的平衡点及其稳定性取决于基本繁殖比。此外，我们在预防和治疗中采用最优控制，减少了印度尼西亚的COVID-19阳性患者人数。进一步，利用庞特里亚金最小值原理分析了最优控制的存在性。我们还对有和没有控制的COVID-19传播进行了数值模拟。模拟结果表明，预防和治疗控制相结合可以减少COVID-19的传播。©2023 JONNER NAINGGOLAN等。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An optimal control of prevention and treatment of COVID-19 spread in Indonesia

In this paper we analyze COVID-19 spread in Indonesia using an epidemio logical model. We consider symptomatic and asymptomatic infections in the model. We analyze the equilibria of the model and their stability which depend on the basic reproduction ratio for symptomatic and asymptomatic infections. Furthermore, we use optimal control in prevention and treatment in decreasing the number of positive COVID-19 patients in Indonesia. Furthermore, we analyze the existence of optimal control using the Pontryagin minimum principle. We also give numerical simulation of COVID-19 spread with and without the control. According to the simulation, COVID-19 spread could be reduced by using prevention and treatment control simultaneously. © 2023 JONNER NAINGGOLAN et al.

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来源期刊

Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-

CiteScore

2.10

自引率

15.40%

发文量

期刊介绍： Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.