Caputo意义下Omicron变异的分数阶SQIRV数学模型

IF 0.6 Q3 MATHEMATICS Contemporary Mathematics Pub Date : 2023-09-25 DOI:10.37256/cm.4420232373
Pushpendra Kumar, S. Dickson, S. Padmasekaran
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引用次数: 0

摘要

本文针对Omicron变异,建立了流行病SQIRV分数阶的数学模型。研究并证实了该模型的正性和有界性。在Caputo导数意义下,研究了该模型的存在性和唯一性。计算用于确定疾病是否会进一步传播的繁殖数R_0,以证明感染稳态解是渐近稳定的。采用不同阶数的分数阶导数进行数值模拟。
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Fractional Order SQIRV Mathematical Model for Omicron Variant in the Caputo Sense
In this paper, for the Omicron Variant, a mathematical model of epidemic SQIRV fractional order is constructed. This model's positivity and boundedness have been investigated and confirmed. In the sense of the Caputo derivative, this model's existence and uniqueness are investigated. The reproduction number $R_0$, which is used to determine whether or not the disease would spread further, is calculated to demonstrate that infection steady-state solutions are asymptotically stable. Different orders of fractional derivatives are used to explore the numerical simulations.
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0.60
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33.30%
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