Modelling Influenza A disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates

F. Evirgen, Esmehan Uçar, Sümeyra Uçar, N. Özdemir
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引用次数: 15

Abstract

The objective of this manuscript is to present a novel approach to modeling influenza A disease dynamics by incorporating the Caputo-Fabrizio (CF) fractional derivative operator into the model. Particularly distinct contact rates between exposed and infected individuals are taken into account in the model under study, and the fractional derivative concept is explored with respect to this component. We demonstrate the existence and uniqueness of the solution and obtain the series solution for all compartments using the Laplace transform method. The reproduction number of the Influenza A model, which was created to show the effectiveness of different contact rates, was obtained and examined in detail in this sense. To validate our approach, we applied the predictor-corrector method in the sense of the Caputo-Fabrizio fractional derivative and demonstrate the effectiveness of the fractional derivative in accurately predicting disease dynamics. Our findings suggest that the use of the Caputo-Fabrizio fractional derivative can provide valuable insights into the mechanisms underlying influenza A disease and enhance the accuracy of disease models.
具有不同接触率的Caputo-Fabrizio分数阶导数下甲型流感动力学模型
这篇手稿的目的是提出一种新的方法来建模流感a疾病动力学通过合并卡普托-法布里齐奥(CF)分数阶导数算子到模型。在所研究的模型中,考虑到暴露个体和受感染个体之间特别不同的接触率,并就这一组成部分探讨了分数导数概念。利用拉普拉斯变换方法证明了解的存在唯一性,并得到了所有隔室的级数解。为显示不同接触率的有效性而创建的甲型流感模型的繁殖数得到了计算,并在这个意义上进行了详细检验。为了验证我们的方法,我们应用了Caputo-Fabrizio分数阶导数意义上的预测校正方法,并证明了分数阶导数在准确预测疾病动力学方面的有效性。我们的研究结果表明,使用Caputo-Fabrizio分数衍生物可以为甲型流感疾病的潜在机制提供有价值的见解,并提高疾病模型的准确性。
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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