通过分数阶分析新冠肺炎疫情后的动态

Q3 Mathematics

International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI:10.1504/ijmmno.2023.134154

Nita H. Shah, Nisha Sheoran

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引用次数: 0

摘要

本文使用卡普托意义上的九个不同隔间，为印度的COVID-19情景制定了分数阶模型。分数阶模型主要关注记忆，从而更好地理解结果。所建立的模型有三个平衡点，即无病平衡点、无症状平衡点和地方性平衡点。计算模型的基本复制数。导出了三个平衡点的局部稳定条件。此外，在印度经历了四次封锁之后，在本研究中，使用数值模拟中显示的最小曲线拟合方法，认为解锁的COVID-19数据是最适合的。绘制了图形和图形，以显示分数阶和系统的其他各种动力学的有效性。

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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Post COVID-19 dynamics through fractional-order

In this article, a fractional-order model for the COVID-19 scenario in India is formulated using nine different compartments in the Caputo sense. The fractional-order model mainly focuses on memory giving a better understanding of results. The formulated model has three equilibrium points namely disease-free, asymptomatic-free, and endemic equilibria. The basic reproduction number is computed for the model. The local stability conditions are derived for all three equilibrium points. Also, after four lockdowns in India, in this study, the unlocked COVID-19 data is considered for the best fit using the least curve fit method shown in numerical simulation. The figures and graphs are plotted to show the effectiveness of fractional-order and other various dynamics of the system.

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来源期刊

International Journal of Mathematical Modelling and Numerical Optimisation Mathematics-Numerical Analysis

CiteScore

1.30

自引率

0.00%

发文量