{"title":"Stationary distribution and sliding mode control on a stochastic hybrid epidemic model with telegraph noise","authors":"Xiju Wu , Yue Zhang , Xinzhu Yan","doi":"10.1016/j.nahs.2025.101580","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we investigate a stochastic hybrid epidemic model with alert effects and telegraph noise. The existence and uniqueness of global positive solution is discussed, and the sufficient conditions for the average persistence and ergodic stationary distribution are obtained. Furthermore, a sliding-mode controller is designed to prevent the large-scale spread of the epidemic. Finally, number simulations are employed to illustrate the theoretical analysis.</div></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"56 ","pages":"Article 101580"},"PeriodicalIF":3.7000,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Hybrid Systems","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1751570X25000068","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/10 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we investigate a stochastic hybrid epidemic model with alert effects and telegraph noise. The existence and uniqueness of global positive solution is discussed, and the sufficient conditions for the average persistence and ergodic stationary distribution are obtained. Furthermore, a sliding-mode controller is designed to prevent the large-scale spread of the epidemic. Finally, number simulations are employed to illustrate the theoretical analysis.
期刊介绍：
Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.
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