A numerical investigation of fractional measles epidemic model using Chebyshev spectral collocation method

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.

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Publication Details

Journal
Computer Methods in Biomechanics & Biomedical Engineering
Published
2025-04-09
DOI
https://doi.org/10.1080/10255842.2025.2485374
Citations
2
Primary Topic
COVID-19 epidemiological studies
Type
article
Field-Weighted Citation Impact
2.74
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article

A numerical investigation of fractional measles epidemic model using Chebyshev spectral collocation method

Rajeswari Seshadri, Sagithya Thirumalai, Şuayip Yüzbaşı
2 citations
Computer Methods in Biomechanics & Biomedical Engineering
COVID-19 epidemiological studies
2.74
article

A numerical investigation of fractional measles epidemic model using Chebyshev spectral collocation method

Rajeswari Seshadri, Sagithya Thirumalai, Şuayip Yüzbaşı
article en
2 citations

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.

Computer Methods in Biomechanics & Biomedical Engineering
Pondicherry University (IN), Bartin University (TR), Vellore Institute of Technology University (IN)
Good health and well-being
Openalex Percentile: Top 12%
COVID-19 epidemiological studies
2.74
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