Victoria Chebotaeva, Anish Srinivasan, Paula A Vasquez
{"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":2.0000,"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}
引用次数: 0
Abstract
This manuscript introduces a new Erlang-distributed SEIR model. The model incorporates asymptomatic spread through a subdivided exposed class, distinguishing between asymptomatic ( ) and symptomatic ( ) cases. The model identifies two key parameters: relative infectiousness, , and the percentage of people who become asymptomatic after being infected by a symptomatic individual, . 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.
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.