估计传染病有效繁殖数的非线性观测器

Q2 Mathematics

Communication in Biomathematical Sciences Pub Date : 2021-03-03 DOI:10.1101/2021.03.02.21252730

A. Hasan

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引用次数: 1

摘要

本文设计了非线性观测器(NLO)来估计传染病的有效繁殖数(Rt)。NLO是根据离散时间增强的易感-感染-去除(SIR)模型设计的。通过求解线性矩阵不等式(LMI)获得观测器增益。该方法用于利用COVID-19大流行期间的流行病学数据估计雅加达的Rt。如果对观测器增益进行适当的调整，该方法与现有的扩展卡尔曼滤波(EKF)等方法相比，可以产生相似的结果。

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 Nonlinear Observer to Estimate the Effective Reproduction Number of Infectious Diseases

In this paper, we design a Nonlinear Observer (NLO) to estimate the effective reproduction number (Rt) of infectious diseases. The NLO is designed from a discrete-time augmented Susceptible-Infectious-Removed (SIR) model. The observer gain is obtained by solving a Linear Matrix Inequality (LMI). The method is used to estimate Rt in Jakarta using epidemiological data during COVID-19 pandemic. If the observer gain is tuned properly, this approach produces similar result compared to existing approach such as Extended Kalman filter (EKF).

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来源期刊

Communication in Biomathematical Sciences Biochemistry, Genetics and Molecular Biology-Biochemistry, Genetics and Molecular Biology (miscellaneous)

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

24 weeks