Dynamic analysis of SIR epidemic model based on feedback control

In this paper, we study the SIR model and give a strategy to control the epidemic. Based on discrete-time observation, the linear control term is added and the upper bound of time delay is given in order to make the epidemic disappear. Both the deterministic and stochastic cases are considered. The novelty of this paper lies in the fact that it only controls for the infected population. Numerical examples verify the theory results.

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Publication Details

Journal
Electronic Research Archive
Published
2025-01-01
DOI
https://doi.org/10.3934/era.2025337
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
0.00
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article

Dynamic analysis of SIR epidemic model based on feedback control

Hui Zhu, Lihong Wu, Yunping Liu, Dong Juan
Electronic Research Archive
Mathematical and Theoretical Epidemiology and Ecology Models
article

Dynamic analysis of SIR epidemic model based on feedback control

Hui Zhu, Lihong Wu, Yunping Liu, Dong Juan
article en

Abstract

In this paper, we study the SIR model and give a strategy to control the epidemic. Based on discrete-time observation, the linear control term is added and the upper bound of time delay is given in order to make the epidemic disappear. Both the deterministic and stochastic cases are considered. The novelty of this paper lies in the fact that it only controls for the infected population. Numerical examples verify the theory results.

Electronic Research ArchiveVol. 33(12)
Nanjing University of Information Science and Technology (CN), Shandong Xiehe University (CN), Heilongjiang Institute of Technology (CN)
Openalex Percentile: Top 48%
Mathematical and Theoretical Epidemiology and Ecology Models
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