{"title":"A numerical investigation of fractional measles epidemic model using Chebyshev spectral collocation method.","authors":"Sagithya Thirumalai, Şuayip Yüzbaşı, Rajeswari Seshadri","doi":"10.1080/10255842.2025.2485374","DOIUrl":null,"url":null,"abstract":"<p><p>This paper investigates a fractional-order SEIR epidemic model for measles formulated as a system of four first-order differential equations using the spectral collocation technique based on the Chebyshev polynomials. The influencing parameters on each compartment is established using PRCC approach. Moreover, the key epidemiological parameters such as the drug therapy, recovery, infection and conversion rate, are thoroughly analyzed to evaluate their influence on the disease's spread. The findings are illustrated through tables and figures. This study also underscores the effectiveness and accuracy of the spectral method, offering valuable insights into the control and understanding of measles epidemics.</p>","PeriodicalId":50640,"journal":{"name":"Computer Methods in Biomechanics and Biomedical Engineering","volume":" ","pages":"1-25"},"PeriodicalIF":1.7000,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Methods in Biomechanics and Biomedical Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1080/10255842.2025.2485374","RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates a fractional-order SEIR epidemic model for measles formulated as a system of four first-order differential equations using the spectral collocation technique based on the Chebyshev polynomials. The influencing parameters on each compartment is established using PRCC approach. Moreover, the key epidemiological parameters such as the drug therapy, recovery, infection and conversion rate, are thoroughly analyzed to evaluate their influence on the disease's spread. The findings are illustrated through tables and figures. This study also underscores the effectiveness and accuracy of the spectral method, offering valuable insights into the control and understanding of measles epidemics.
期刊介绍:
The primary aims of Computer Methods in Biomechanics and Biomedical Engineering are to provide a means of communicating the advances being made in the areas of biomechanics and biomedical engineering and to stimulate interest in the continually emerging computer based technologies which are being applied in these multidisciplinary subjects. Computer Methods in Biomechanics and Biomedical Engineering will also provide a focus for the importance of integrating the disciplines of engineering with medical technology and clinical expertise. Such integration will have a major impact on health care in the future.