通过阿坦加纳-巴莱阿努分式衍生物分析 Covid-19 的传播情况

Qeios Pub Date : 2024-03-19 DOI:10.32388/d7u6ud
M. A. Zaitri, Naas Adjimi
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引用次数: 0

摘要

我们通过阿坦加纳-巴莱阿努分式导数研究了流行病的传播。我们介绍了该流行病分数模型的数学分析和公式。证明了所提模型解的存在性和唯一性。研究还探讨了无疾病平衡的存在性,并分析了其稳定性。为了验证理论结果,我们提供了分数模型的数值方案,并给出了各种模拟结果。这些结果可作为制定战略以缓解流行病传播的宝贵资源。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis of the Spread of Covid-19 via Atangana-Baleanu Fractional Derivatives
We study the spread of the epidemic via Atangana-Baleanu Fractional Derivatives. We present the mathematical analysis and formulation of a fractional model for the epidemic. The existence and uniqueness of the solution for the proposed model are proved. The study also investigates the existence of disease-free equilibrium and analyzes its stability properties. To validate the theoretical results, we provide a numerical scheme for the fractional model and present various simulation results. These results can serve as a valuable resource in developing strategies to mitigate the spread of the epidemic.
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