涉及移民和疫苗接种的COVID-19延迟传播模型的稳定性分析

IF 0.5 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS
{"title":"涉及移民和疫苗接种的COVID-19延迟传播模型的稳定性分析","authors":"","doi":"10.28919/cmbn/8151","DOIUrl":null,"url":null,"abstract":"In this paper, we propose and analyze the dynamical behavior of a delayed COVID-19 transmission model with immigration, vaccination and general incidence function. The time delay into the proposed model represents the incubation period. Firstly, the well-posedness of the model is investigated. Moreover, we construct appropriate Lyapunov function to prove the global stability of equilibria. To support the theoretical results, numerical simulations are presented at the end of the study.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability analysis of a delayed COVID-19 transmission model involving immigration and vaccination\",\"authors\":\"\",\"doi\":\"10.28919/cmbn/8151\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose and analyze the dynamical behavior of a delayed COVID-19 transmission model with immigration, vaccination and general incidence function. The time delay into the proposed model represents the incubation period. Firstly, the well-posedness of the model is investigated. Moreover, we construct appropriate Lyapunov function to prove the global stability of equilibria. To support the theoretical results, numerical simulations are presented at the end of the study.\",\"PeriodicalId\":44079,\"journal\":{\"name\":\"Communications in Mathematical Biology and Neuroscience\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematical Biology and Neuroscience\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28919/cmbn/8151\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Biology and Neuroscience","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/cmbn/8151","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0

摘要

本文提出并分析了具有移民、疫苗接种和一般发病率函数的COVID-19延迟传播模型的动力学行为。进入所提模型的时间延迟表示潜伏期。首先对模型的适定性进行了研究。此外,我们构造了适当的Lyapunov函数来证明平衡点的全局稳定性。为了支持理论结果,在研究的最后给出了数值模拟。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stability analysis of a delayed COVID-19 transmission model involving immigration and vaccination
In this paper, we propose and analyze the dynamical behavior of a delayed COVID-19 transmission model with immigration, vaccination and general incidence function. The time delay into the proposed model represents the incubation period. Firstly, the well-posedness of the model is investigated. Moreover, we construct appropriate Lyapunov function to prove the global stability of equilibria. To support the theoretical results, numerical simulations are presented at the end of the study.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Communications in Mathematical Biology and Neuroscience
Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-
CiteScore
2.10
自引率
15.40%
发文量
80
期刊介绍: Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信