利用分数导数链建立的多面 COVID-19 新数学模型。

IF 2.3 Q1 MATHEMATICS Advances in continuous and discrete models Pub Date : 2022-01-01 Epub Date: 2022-01-21 DOI:10.1186/s13662-022-03677-w
Ibtisam Aldawish, Rabha W Ibrahim
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引用次数: 0

摘要

据报道,目前有七种不同类型的冠状病毒由个体实现,其中包括导致 SARS、MERS 和 COVID-19 流行的冠状病毒。目前,人们使用不同的分数微积分算子对 COVID-19 的多种设计进行了研究。这些数学模型大多只描述一种 COVID-19(感染和无症状)。在本研究中,我们旨在介绍两种或多种类型 COVID-19 的变化生长情况。我们的技术基于 ABC 分数导数算子。我们研究了一个耦合微分方程系统,其中包含感染者和无症状者之间的扩散动态。其结果相应地与个体的宏观规则相关联。在分析中,我们使用了分数链的概念。这种链是一种结合了连续变量和离散变量的分数微分差分方程。通过矩阵理论,我们认识到了解的存在。近似系统的解表明在原点有一个最小点。
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A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains.

It has been reported that there are seven different types of coronaviruses realized by individuals, containing those responsible for the SARS, MERS, and COVID-19 epidemics. Nowadays, numerous designs of COVID-19 are investigated using different operators of fractional calculus. Most of these mathematical models describe only one type of COVID-19 (infected and asymptomatic). In this study, we aim to present an altered growth of two or more types of COVID-19. Our technique is based on the ABC-fractional derivative operator. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion between infected and asymptomatic people. The consequence is accordingly connected with a macroscopic rule for the individuals. In this analysis, we utilize the concept of a fractional chain. This type of chain is a fractional differential-difference equation combining continuous and discrete variables. The existence of solutions is recognized by formulating a matrix theory. The solution of the approximated system is shown to have a minimax point at the origin.

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