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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
مراجع
  • [1] T. Chen, J. Rui, Q. Wang, Z. Zhao, J. Cui, and L. Yin, A mathematical model for simulating the transmission of Wuhan novel Coronavirus, bioRxiv, (2020).
  • [2] D. Fargette et al., Diversification of rice yellow mottle virus and related viruses spans the history of agriculture from the neolithic to the present, PLos pathogens, 4 (2008), e1000125.
  • [3] A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and applications of fractional differential equations, Elsevier, (2006).
  • [4] R. Khalil, M. Al Horani, A. Yousef and M. Sababheh, A new definition of fractional derivative, Journal of Computational and Applied Mathematics, 264 (2014), 65-70.
  • [5] H. Khan, J. G´omez-Aguilar, A. Alkhazzan, and A. Khan, A fractional order HIV-TB coinfection model with nonsingular Mittag-Leffler Law, Mathematical Methods in the Applied Sciences, 43 (2020), 3786-3806.
  • [6] M. A. Khan and A. Atangana, Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative, Alexandria Engineering Journal, 59 (2020), 2379-2389.
  • [7] A. J. McMichael, Environmental and social influences on emerging infectious diseases: past, present and future, Philosophical Transactions of the Royal Society of London, Series B: Biological Sciences, 359 (2004), 1049-1058.
  • [8] K. Shah, M. A. Alqudah, F. Jarad, and T. Abdeljawad, Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative, Chaos, Solitons, Fractals, 135 (2020), 109754.
  • [9] K. Shah, F. Jarad, and T. Abdeljawad, On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative, Alexandria Engineering Journal, 59 (2020), 2305-2313.
  • [10] A. S. Shaikh, I. N. Shaikh, and K. S. Nisar, A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control, Advances in Difference Equations, 2020 (2020), 1-19.
  • [11] E. Tognotti, Lessons from the history of quarantine, from plague to influenza A, Emerging infectious diseases, 19(2) (2013), 254.
  • [12] R. Ud Din, K. Shah, I. Ahmad, and T. Abdeljawad, Study of transmission dynamics of novel COVID-19 by using mathematical model, Advances in Difference Equations, 2020 (2020), 1-13.
  • [13] C. Xu, Y. Yu, Y. Chen, and Z. Lu. Forecast analysis of the epidemics trend of COVID-19 in the USA by a generalized fractional-order SEIR model. Nonlinear dynamics, 101 (2020), 1621-1634.
  • [14] M. Yousaf, S. Zahir, M. Riaz, S. M. Hussain, and K. Shah, Statistical analysis of forecasting COVID-19 for upcoming month in Pakistan, Chaos, Solitons, Fractals, 138 (2020), 109926.
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