新冠肺炎传播模型的优化控制研究及其早期筛查和检测措施

IF 0.8 Q3 ENGINEERING, MULTIDISCIPLINARY

Journal of Applied Nonlinear Dynamics Pub Date : 2023-09-01 DOI:10.5890/JAND.2023.09.005

N. Mohankumar, Lavanya Rajagopal

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引用次数: 0

摘要

在这篇论文中，我们提出了一个确定性的SEQIR数学模型，该模型描述了新冠肺炎的传播动态，其中还包括检疫阶段的检测程序。再现数R0是利用模型的一些特性导出的。分析了平衡点的稳定性。提出了一个目标函数，并利用庞特里亚金最大值原理推导了最优控制策略。证明了一个最优ity系统的存在性和唯一性。数值模拟在不同的情况下进行，包括早期筛查的控制干预措施、新冠肺炎的预防措施和健康的生活方式。本文的主要目的是根除该病暴露期。所选择的控制变量有助于我们减少暴露人群。（c） 2023 L&H科学出版有限责任公司。保留所有权利。

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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A Study on Optimal Control of a COVID-19 Transmission Model with the Significance of Early Screening and Testing Measures

In this paper, we present a deterministic SEQIR mathematical model that describes the transmission dynamics of COVID-19 that also in-cludes testing procedures in the quarantine stage. The reproduction number R0 is derived with some properties of the model. The stabil-ity of equilibrium points is analyzed. An objective function is pro-posed and optimal control strategies are derived using Pontryagin's Maximum Principle. The existence and uniqueness of an optimal-ity system are demonstrated. Numerical simulations are presented in different scenarios with the control interventions early screening, prevention measures of COVID-19, and following a healthy lifestyle. The main objective of the paper is to eradicate the disease in exposed stage. The chosen control variables helps us to reduce the exposed population. (c) 2023 L&H Scientific Publishing, LLC. All rights reserved.

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来源期刊

Journal of Applied Nonlinear Dynamics Engineering-Mechanical Engineering

CiteScore

1.20

自引率

20.00%

发文量

期刊介绍： The aim of the journal is to stimulate more research interest and attention for nonlinear dynamical behaviors and engineering nonlinearity for design. The manuscripts in complex dynamical systems with nonlinearity and chaos are solicited, which includes physical mechanisms of complex systems and engineering applications of nonlinear dynamics. The journal provides a place to researchers for the rapid exchange of ideas and techniques in nonlinear dynamics and engineering nonlinearity for design. Topics of Interest Complex dynamics in engineering Nonlinear vibration and dynamics for design Nonlinear dynamical systems and control Fractional dynamics and applications Chemical dynamics and bio-systems Economical dynamics and predictions Dynamical systems synchronization Bio-mechanical systems and devices Nonlinear structural dynamics Nonlinear multi-body dynamics Multiscale wave propagation in materials Nonlinear rotor dynamics Nonlinear waves and acoustics.