Stability and event-triggered control of stochastic delay listeriosis model

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-07-11 DOI:10.1016/j.ejcon.2025.101263

Zhaoyan Meng, Qimin Zhang

引用次数: 0

Abstract

The spread of listeriosis poses a significant risk to human health. It is of great significance to study its prevention and treatment for controlling the spread of listeriosis. In this paper, a listeriosis model was established considering time delay and environmental disturbance. Using the method of Lyapunov global existence and uniqueness of positive solutions were obtained. The dynamics properties of random listeriosis model solutions are discussed, and sufficient conditions for model stability are established. From the perspective of control, the treatment of infected persons was regarded as a control strategy, and the event triggering controller that promote the disease from epidemic to extinction was constructed. The system’s control input was updated when the proportion of infected people exceeds the design threshold. At the same time, the event-trigger control strategy are given for the shortest time. The validity of the theoretical results was verified by numerical examples.

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随机延迟李斯特菌病模型的稳定性和事件触发控制

李斯特菌病的传播对人类健康构成重大威胁。研究其防治对控制李斯特菌病的传播具有重要意义。本文建立了考虑时滞和环境干扰的李斯特菌病模型。利用Lyapunov方法，得到了正解的整体存在唯一性。讨论了随机李斯特菌病模型解的动力学性质，建立了模型稳定的充分条件。从控制角度出发，将感染者的治疗作为一种控制策略，构建了促进疾病从流行到灭绝的事件触发控制器。当感染者的比例超过设计阈值时，系统的控制输入更新。同时给出了时间最短的事件触发控制策略。通过数值算例验证了理论结果的有效性。

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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来源期刊

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.