呼吸道合胞病毒的非整数数学模型

M. B. Abdullahi, Amiru Sule
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摘要

呼吸道合胞病毒(RSV),又称人类呼吸道合胞病毒(hRSV)和人类正肺炎病毒,是一种常见的、可传播的病毒,是呼吸道疾病的根源。它是一种负义、单链核糖核酸(RNA)病毒。它的名字来源于合胞体,即受感染细胞合并后形成的巨大细胞。本文将建立呼吸道合胞病毒(RSV)病毒的分数阶模型。卡普托分数阶导数算子将用于生成非整数微分方程的模型方案。为了计算非线性分数微分方程系统的估计解,使用了拉普拉斯-阿多米分解法。作为分数微分方程的解,产生了无穷级数。模型的拟议序列解迅速收敛到其精确值。获得的结果与标准情况进行了比较。
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NON- INTEGER MATHEMATICAL MODEL OF RESPIRATORY SYNCYTIAL VIRUS
Respiratory syncytial virus (RSV), also known as a human respiratory syncytial virus (hRSV) and human orthopneumovirus, is a common, transmittable virus that roots respiratory tract diseases. It is a negative-sense, single-stranded Ribonucleic acid (RNA) virus. It gets its name from syncytia, which are huge cells that form when infected cells merge. In this paper fractional order model of the respiratory syncytial virus (RSV) virus will be developed. The Caputo fractional derivative operator of the order will be used to generate the model scheme of non-integer differential equations. To calculate an estimated solution of the system of nonlinear fractional differential equations, the Laplace-Adomian Decomposition Method was used. Infinite series was produced as solutions to fractional differential equations. The model's proposed series solution converges quickly to its precise value. The obtained results are compared to the standard case.
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