分数阶SIR流行病模型的解析解

Ahmad Mohammad Qazza, Rania Saadeh
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引用次数: 12

摘要

本文提出了用拉普拉斯残差幂级数法求解分数阶SIR流行病模型的方法。我们在Caputo导数的意义上引入分数SIR模型;它由三个分数阶微分方程表示,其中第三个方程依赖于第一个耦合方程。本研究采用拉普拉斯残差幂级数法(LRPSM)求解该模型,并以收敛级数展开的形式给出解,该解快速收敛于精确解。我们对结果进行了分析,并将所得到的近似解与其他方法得到的近似解进行了比较。图和表显示了LRPSM在处理建议的SIR模型方面的效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the Analytical Solution of Fractional SIR Epidemic Model
This article presents the solution of the fractional SIR epidemic model using the Laplace residual power series method. We introduce the fractional SIR model in the sense of Caputo’s derivative; it is presented by three fractional differential equations, in which the third one depends on the first coupled equations. The Laplace residual power series method (LRPSM) is implemented in this research to solve the proposed model, in which we present the solution in a form of convergent series expansion that converges rapidly to the exact one. We analyze the results and compare the obtained approximate solutions to those obtained from other methods. Figures and tables are illustrated to show the efficiency of the LRPSM in handling the proposed SIR model.
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