{"title":"有延迟的离散扩散模型中行进波的有界性","authors":"Jingdong Wei, Jiahe Li, Jiangbo Zhou","doi":"10.1007/s12346-023-00903-y","DOIUrl":null,"url":null,"abstract":"<p>Employing some classical analysis methods, in this paper we establish the global boundedness of R-component of traveling wave solutions for a discrete diffusion susceptible-infected-recovered (SIR) epidemic model with delay. This result is a sufficient condition to obtain the limit behavior of traveling wave solutions at far fields. Meanwhile, the present results improve our recent work.</p>","PeriodicalId":48886,"journal":{"name":"Qualitative Theory of Dynamical Systems","volume":"2 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundedness of Traveling Waves in a Discrete Diffusion Model with Delay\",\"authors\":\"Jingdong Wei, Jiahe Li, Jiangbo Zhou\",\"doi\":\"10.1007/s12346-023-00903-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Employing some classical analysis methods, in this paper we establish the global boundedness of R-component of traveling wave solutions for a discrete diffusion susceptible-infected-recovered (SIR) epidemic model with delay. This result is a sufficient condition to obtain the limit behavior of traveling wave solutions at far fields. Meanwhile, the present results improve our recent work.</p>\",\"PeriodicalId\":48886,\"journal\":{\"name\":\"Qualitative Theory of Dynamical Systems\",\"volume\":\"2 1\",\"pages\":\"\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2023-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Qualitative Theory of Dynamical Systems\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s12346-023-00903-y\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Qualitative Theory of Dynamical Systems","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12346-023-00903-y","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
本文运用一些经典分析方法，建立了具有延迟的离散扩散易感-感染-恢复（SIR）流行病模型的行波解的 R 分量的全局有界性。这一结果是获得行波解在远场极限行为的充分条件。同时，本结果改进了我们最近的工作。
Boundedness of Traveling Waves in a Discrete Diffusion Model with Delay
Employing some classical analysis methods, in this paper we establish the global boundedness of R-component of traveling wave solutions for a discrete diffusion susceptible-infected-recovered (SIR) epidemic model with delay. This result is a sufficient condition to obtain the limit behavior of traveling wave solutions at far fields. Meanwhile, the present results improve our recent work.
期刊介绍：
Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.
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