最优控制下乙型肝炎感染个体的复杂动力学。

IF 2.6 3区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Systems Science & Complexity Pub Date : 2021-01-01 Epub Date: 2021-02-04 DOI:10.1007/s11424-021-0053-0
Anwarud Din, Yongjin Li, Murad Ali Shah
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引用次数: 38

摘要

本文提出了乙型肝炎病毒(HBV)在传播率和非线性发病率之外的各个阶段,建立了一个流行模型。首先对模型进行了规划,然后从有界性和正性两个方面证明了模型的适定性。并求出阈值参数r0,称为基本/有效繁殖数,并进行局部敏感性分析。此外,作者检验了稳定性,从而在r0方面的稳定性条件。通过敏感性分析,提出了从人群中根除HBV的控制问题,并证明了控制问题的存在。利用四阶龙格-库塔过程对最优系统进行了完整表征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Complex Dynamics of Hepatitis B Infected Individuals with Optimal Control.

This paper proposes various stages of the hepatitis B virus (HBV) besides its transmissibility and nonlinear incidence rate to develop an epidemic model. The authors plan the model, and then prove some basic results for the well-posedness in term of boundedness and positivity. Moreover, the authors find the threshold parameter R 0, called the basic/effective reproductive number and carry out local sensitive analysis. Furthermore, the authors examine stability and hence condition for stability in terms of R 0. By using sensitivity analysis, the authors formulate a control problem in order to eradicate HBV from the population and proved that the control problem actually exists. The complete characterization of the optimum system was achieved by using the 4th-order Runge-Kutta procedure.

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来源期刊
Journal of Systems Science & Complexity
Journal of Systems Science & Complexity 数学-数学跨学科应用
CiteScore
3.80
自引率
9.50%
发文量
90
审稿时长
6-12 weeks
期刊介绍: The Journal of Systems Science and Complexity is dedicated to publishing high quality papers on mathematical theories, methodologies, and applications of systems science and complexity science. It encourages fundamental research into complex systems and complexity and fosters cross-disciplinary approaches to elucidate the common mathematical methods that arise in natural, artificial, and social systems. Topics covered are: complex systems, systems control, operations research for complex systems, economic and financial systems analysis, statistics and data science, computer mathematics, systems security, coding theory and crypto-systems, other topics related to systems science.
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