SEIR流行病模型中区分有症状和无症状感染个体的接触

IF 2.3 4区 数学 Q2 BIOLOGY Bulletin of Mathematical Biology Pub Date : 2025-02-04 DOI:10.1007/s11538-025-01416-2
Victoria Chebotaeva, Anish Srinivasan, Paula A Vasquez
{"title":"SEIR流行病模型中区分有症状和无症状感染个体的接触","authors":"Victoria Chebotaeva, Anish Srinivasan, Paula A Vasquez","doi":"10.1007/s11538-025-01416-2","DOIUrl":null,"url":null,"abstract":"<p><p>This manuscript introduces a new Erlang-distributed SEIR model. The model incorporates asymptomatic spread through a subdivided exposed class, distinguishing between asymptomatic ( <math><msub><mtext>E</mtext> <mi>a</mi></msub> </math> ) and symptomatic ( <math><msub><mtext>E</mtext> <mi>s</mi></msub> </math> ) cases. The model identifies two key parameters: relative infectiousness, <math><msub><mi>β</mi> <mrow><mi>SA</mi></mrow> </msub> </math> , and the percentage of people who become asymptomatic after being infected by a symptomatic individual, <math><mi>κ</mi></math> . Lower values of these parameters reduce the peak magnitude and duration of the infectious period, highlighting the importance of isolation measures. Additionally, the model underscores the need for strategies addressing both symptomatic and asymptomatic transmissions.</p>","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 3","pages":"38"},"PeriodicalIF":2.3000,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11794362/pdf/","citationCount":"0","resultStr":"{\"title\":\"Differentiating Contact with Symptomatic and Asymptomatic Infectious Individuals in a SEIR Epidemic Model.\",\"authors\":\"Victoria Chebotaeva, Anish Srinivasan, Paula A Vasquez\",\"doi\":\"10.1007/s11538-025-01416-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>This manuscript introduces a new Erlang-distributed SEIR model. The model incorporates asymptomatic spread through a subdivided exposed class, distinguishing between asymptomatic ( <math><msub><mtext>E</mtext> <mi>a</mi></msub> </math> ) and symptomatic ( <math><msub><mtext>E</mtext> <mi>s</mi></msub> </math> ) cases. The model identifies two key parameters: relative infectiousness, <math><msub><mi>β</mi> <mrow><mi>SA</mi></mrow> </msub> </math> , and the percentage of people who become asymptomatic after being infected by a symptomatic individual, <math><mi>κ</mi></math> . Lower values of these parameters reduce the peak magnitude and duration of the infectious period, highlighting the importance of isolation measures. Additionally, the model underscores the need for strategies addressing both symptomatic and asymptomatic transmissions.</p>\",\"PeriodicalId\":9372,\"journal\":{\"name\":\"Bulletin of Mathematical Biology\",\"volume\":\"87 3\",\"pages\":\"38\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2025-02-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11794362/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of Mathematical Biology\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11538-025-01416-2\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"BIOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Biology","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11538-025-01416-2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"BIOLOGY","Score":null,"Total":0}
引用次数: 0

摘要

本文介绍了一种新的erlang -分布式SEIR模型。该模型通过细分的暴露类别纳入无症状传播,区分无症状(E a)和有症状(E s)病例。该模型确定了两个关键参数:相对传染性,β SA,以及被有症状的个体感染后无症状的人的百分比,κ。这些参数值越低,峰值大小和感染期持续时间就越短,突出了隔离措施的重要性。此外,该模型强调需要制定应对有症状和无症状传播的战略。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

摘要图片

摘要图片

摘要图片

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
Differentiating Contact with Symptomatic and Asymptomatic Infectious Individuals in a SEIR Epidemic Model.

This manuscript introduces a new Erlang-distributed SEIR model. The model incorporates asymptomatic spread through a subdivided exposed class, distinguishing between asymptomatic ( E a ) and symptomatic ( E s ) cases. The model identifies two key parameters: relative infectiousness, β SA , and the percentage of people who become asymptomatic after being infected by a symptomatic individual, κ . Lower values of these parameters reduce the peak magnitude and duration of the infectious period, highlighting the importance of isolation measures. Additionally, the model underscores the need for strategies addressing both symptomatic and asymptomatic transmissions.

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
CiteScore
3.90
自引率
8.60%
发文量
123
审稿时长
7.5 months
期刊介绍: The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including: Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations Research in mathematical biology education Reviews Commentaries Perspectives, and contributions that discuss issues important to the profession All contributions are peer-reviewed.
期刊最新文献
Topological Structure of Epigenetic Forests in Flower Morphogenesis. Uncertainty and Sensitivity Analysis of Hair Growth Duration in Human Scalp Follicles Under Normal and Alopecic Conditions. Coupled SDE-ODE Modeling of Tumor-Immune Dynamics to Infer Biomarker Release. A Mathematical Model to Predict Growth and Treatment for UPS Cancer. A Dual-age Structured Epidemiological Model with Waning Immunity and Reinfection.
×
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学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:604180095
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