An analysis of a SIRS model with isolation on complex network

Fu Yong, Jin Yuanwei, Chen Zhaona
{"title":"An analysis of a SIRS model with isolation on complex network","authors":"Fu Yong, Jin Yuanwei, Chen Zhaona","doi":"10.1109/ICMC.2014.7231998","DOIUrl":null,"url":null,"abstract":"The research on immune strategy of epidemic spreading mostly based on simulation data which were lack of theoretical support. The paper was born to establish an improved SIRS epidemic model with isolation factor on both uniform network and scale-free network. We had got the disease-free equilibrium and proved the existence of the endemic equilibrium as well as its uniqueness. We also analyzed the stabilization of the system near the disease-free equilibrium and endemic equilibrium by Lyapunov stability theory. Finally we discussed the influence on the spreading of epidemic carried by isolation factor and structure of network which were supported by the simulation.","PeriodicalId":104511,"journal":{"name":"2014 International Conference on Mechatronics and Control (ICMC)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 International Conference on Mechatronics and Control (ICMC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMC.2014.7231998","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

Abstract

The research on immune strategy of epidemic spreading mostly based on simulation data which were lack of theoretical support. The paper was born to establish an improved SIRS epidemic model with isolation factor on both uniform network and scale-free network. We had got the disease-free equilibrium and proved the existence of the endemic equilibrium as well as its uniqueness. We also analyzed the stabilization of the system near the disease-free equilibrium and endemic equilibrium by Lyapunov stability theory. Finally we discussed the influence on the spreading of epidemic carried by isolation factor and structure of network which were supported by the simulation.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
复杂网络上带隔离的SIRS模型分析
传染病传播的免疫策略研究大多基于仿真数据,缺乏理论支持。本文的目的是在均匀网络和无标度网络上建立具有隔离因子的改进SIRS流行模型。得到了无病平衡,证明了地方性平衡的存在及其独特性。利用Lyapunov稳定性理论分析了系统在无病平衡点和地方病平衡点附近的稳定性。最后讨论了隔离因子和网络结构对传染病传播的影响,并给出了仿真结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
An adaptive observer for a class of uncertain nonlinear neutral delay systems The redundant wireless bridged networks for remote launch system Design and simulation research of new linear active disturbance rejection controller A DSC approach to synchronized path following of multiple underactuated AUVs with uncertain dynamics and input constrains Expert system for the design of silk products based on web
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1