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Dehghan Nezhad, Akbar, Moslemi Ghadikolaei, Arezoo. (1404). Analysis of quarantine and liberate effects on viral infection using SEIR and Caputo $ \alpha $-fractional-order model. سامانه مدیریت نشریات علمی, 13(3), 768-782. doi: 10.22034/cmde.2024.60950.2607
Akbar Dehghan Nezhad; Arezoo Moslemi Ghadikolaei. "Analysis of quarantine and liberate effects on viral infection using SEIR and Caputo $ \alpha $-fractional-order model". سامانه مدیریت نشریات علمی, 13, 3, 1404, 768-782. doi: 10.22034/cmde.2024.60950.2607
Dehghan Nezhad, Akbar, Moslemi Ghadikolaei, Arezoo. (1404). 'Analysis of quarantine and liberate effects on viral infection using SEIR and Caputo $ \alpha $-fractional-order model', سامانه مدیریت نشریات علمی, 13(3), pp. 768-782. doi: 10.22034/cmde.2024.60950.2607
Dehghan Nezhad, Akbar, Moslemi Ghadikolaei, Arezoo. Analysis of quarantine and liberate effects on viral infection using SEIR and Caputo $ \alpha $-fractional-order model. سامانه مدیریت نشریات علمی, 1404; 13(3): 768-782. doi: 10.22034/cmde.2024.60950.2607

Analysis of quarantine and liberate effects on viral infection using SEIR and Caputo $ \alpha $-fractional-order model

Computational Methods for Differential Equations
مقاله 4، دوره 13، شماره 3، مهر 2025، صفحه 768-782    اصل مقاله (634.83 K)
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 Coronavirus. This study presents two mathematical models utilizing $\alpha$-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    The first group comprises the susceptible population who are not under lockdown.
    \item    The second group consists of susceptible individuals who are under lockdown.
    \item The third group comprises infected individuals who are not under lockdown.
    \item    The fourth group consists of infective individuals who are under lockdown.
    \end{enumerate}
One of the aforementioned methods examines the dynamics of COVID-19 by generalizing the SEIR model using $\alpha$-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 all $ 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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