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Analysis of quarantine and liberate effects on viral infection using SEIR and Caputo $ \alpha $-fractional-order model | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 مهر 1403 اصل مقاله (1.32 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.60950.2607 | ||
| نویسندگان | ||
| Akbar Dehghan Nezhad* ؛ Arezoo Moslemi Ghadikolaei | ||
| School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran, 1684613114, Iran. | ||
| چکیده | ||
| Of the various control measures available, lockdown is widely considered to be the most reliable method for containing the spread of the Coronavirus. This study presents two mathematical models utilizing $\boldsymbol{\alpha}$-fractional derivatives to investigate the significance of lockdown in reducing the spread of the virus. In this article, the entire population is divided into four groups:\\ %\begin{enumerate} % \item 1) The first group comprises the susceptible population who are not under lockdown. % \item 2) The second group consists of susceptible individuals who are under lockdown. % \item 3) The third group comprises infected individuals who are not under lockdown. % \item 4) The fourth group consists of infective individuals who are under lockdown. % \end{enumerate} One of the aforementioned methods examines this disease by generalizing the SEIR $\boldsymbol{\alpha} $-fractional derivatives. The second model comprises five nonlinear differential equations of $\boldsymbol{\alpha} $-fractional order. In both methods, $ \boldsymbol{\alpha} = (\alpha_1,\cdots,\alpha_n) $, where $ 0 < \alpha_i \leq 1 $ for every $ 1 \leq i \leq n$. In other words, if $ \mathbb{T} = (0,1]$, then $ \boldsymbol{\alpha} \in \mathbb{T}^n$. | ||
| کلیدواژه‌ها | ||
| Lockdown؛ Coronavirus؛ Mathematical models؛ $\alpha$-fractional | ||
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آمار تعداد مشاهده مقاله: 74 تعداد دریافت فایل اصل مقاله: 129 |
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