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Theory Article | Open Access

Dynamic analysis of SIR epidemic model based on feedback control

Hui Zhu1, Yunping Liu2( ), Juan Dong3,4, Lihong Wu5
School of Engineering Science, Shandong Xiehe University, Jinan 250107, China
School of Automation, Nanjing University of Information Science and Technology, Nanjing 210044, China
School of Electronics and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
Department of Mechanical and Electrical Engineering, Heilongjiang Institute of Construction Technology, 150025, China
School of Mechanical Engineering, Nantong Institute of Technology, Nantong 226002, China
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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.

Keywords

feedback controlSIRextinctionstochastic modelsnoise

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Electronic Research Archive
Volume 33 Issue 12,
December 2025
Pages 7619-7636
DOI: 10.3934/era.2025337

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Cite this article:
Zhu H, Liu Y, Dong J, et al. Dynamic analysis of SIR epidemic model based on feedback control. Electronic Research Archive, 2025, 33(12): 7619-7636. https://doi.org/10.3934/era.2025337

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Received: 14 October 2025
Revised: 17 November 2025
Accepted: 25 November 2025
Published: 19 December 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)