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

IF 1.7 4区 医学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Sagithya Thirumalai, Şuayip Yüzbaşı, Rajeswari Seshadri
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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.

用切比雪夫谱配点法对麻疹分式流行模型进行数值研究。
本文利用基于切比雪夫多项式的谱配点技术,研究了一个分数阶麻疹SEIR流行病模型,该模型由四个一阶微分方程组成。采用PRCC方法建立了各隔室的影响参数。并对药物治疗、康复、感染、转换率等关键流行病学参数进行深入分析,评价其对疾病传播的影响。这些发现是通过表格和图表来说明的。这项研究还强调了光谱方法的有效性和准确性,为控制和理解麻疹流行提供了有价值的见解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
4.10
自引率
6.20%
发文量
179
审稿时长
4-8 weeks
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.
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