利用分数算子进行数学分析,研究登革热的动态变化

Manisha Meena, Mridula Purohit, Shyamsunder K
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摘要

研究人员和分析人员正在深入研究利用非整数阶导数建立传染病模型,以加强对疾病的理解和预测。根据这一思路,我们在本研究中考虑了登革热疾病的分数模型。Hilfer 分数模型最初是为了解决流行病动力学问题而提出的。本研究采用数值技术--拉普拉斯同调分析变换法(LHATM)--对登革热分型模型进行分析研究。我们采用了同调分析和拉普拉斯变换来制定拟议的技术。我们还考虑了解的唯一性和收敛性。利用 MATLAB21a,对区间$(0,1)$内的不同整数阶和非整数阶进行了数值模拟。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical analysis using fractional operator to study the dynamics of dengue fever
Researchers and analysts are intensively studying modeling contagious diseases using non-integer order derivatives to enhance understanding and prediction. Taking this idea forward, in this study, we consider the fractional model for dengue fever disease. The Hilfer fractional model was initially formulated to address epidemic dynamics. This study employed the numerical technique, the Laplace homotopy analysis transform method (LHATM), to examine the fractional dengue fever model for analysis. We employed homotopy analysis and Laplace transform to formulate the proposed technique. There is also a consideration of the uniqueness and convergence of the solution. Utilizing MATLAB21a, numerical simulation for different integer and non-integer orders within the interval $(0,1)$ has been drawn.
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