34
Views
0
CrossRef citations to date
0
Altmetric
Research Article

A novel fractional-order feedback management of COVID-19 prevalence

&
Pages 1345-1359 | Received 01 Mar 2021, Published online: 06 Apr 2022

References

  • C. S. G. of the International, “The species Severe acute respiratory syndrome-related coronavirus: classifying 2019-nCoV and naming it SARS-CoV-2,” Nature microbiology, vol. 5, no. 4, p. 536, 2020. doi: 10.1038/s41564-020-0695-z
  • W. H. Hamer, The milroy lectures on epidemic diseases in england: The evidence of variability and of persistency of type; delivered before the royal college of physicians of london, march 1st, 6th, and 8th, 1906. Bedford Press, 1906.
  • H. W. Hethcote, “The mathematics of infectious diseases,” SIAM review, vol. 42, no. 4, pp. 599-653, 2000. doi: 10.1137/S0036144500371907
  • A. N. Chatterjee and F. Al Basir, “A model for sars-cov-2 infection with treatment,” Computational and mathematical methods in medicine, vol. 2020, 2020. doi: 10.1155/2020/1352982
  • S. Wang, Y. Pan, Q. Wang, H. Miao, A. N. Brown, and L. Rong, “Modeling the viral dynamics of SARS-CoV-2 infection,” Mathematical biosciences, vol. 328, p. 108438, 2020. doi: 10.1016/j.mbs.2020.108438
  • M. Tahir, S. I. Ali Shah, G. Zaman, and T. Khan, “A dynamic compartmental mathematical model describing the transmissibility of MERS- CoV virus in public,” Punjab University Journal of Mathematics, vol. 51, no. 4, 2020.
  • N. Anand, A. Sabarinath, S. Geetha, and S. Somanath, “Predicting the Spread of COVID-19 Using $$ SIR $$ SIR Model Augmented to Incorporate Quarantine and Testing,” Transactions of the Indian National Academy of Engineering, vol. 5, no. 2, pp. 141-148, 2020. doi: 10.1007/s41403-020-00151-5
  • M. Serhani and H. Labbardi, “Mathematical modeling of COVID-19 spreading with asymptomatic infected and interacting peoples,” Journal of Applied Mathematics and Computing, vol. 66, no. 1, pp. 1-20, 2021. doi: 10.1007/s12190-020-01421-9
  • R. M. Colombo, M. Garavello, F. Marcellini, and E. Rossi, “An age and space structured SIR model describing the Covid-19 pandemic,” Journal of mathematics in industry, vol. 10, no. 1, pp. 1-20, 2020. doi: 10.1186/s13362-020-00090-4
  • B. Ivorra, M. R. Ferrández, M. Vela-Pérez, and A. Ramos, “Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China,” Communications in nonlinear science and numerical simulation, vol. 88, p. 105303, 2020. doi: 10.1016/j.cnsns.2020.105303
  • B. Ivorra, D. Ngom, and Á. M. Ramos, “Be-codis: A mathematical model to predict the risk of human diseases spread between countries—validation and application to the 2014–2015 ebola virus disease epidemic,” Bulletin of mathematical biology, vol. 77, no. 9, pp. 1668–1704, 2015. doi: 10.1007/s11538-015-0100-x
  • S. Hussain, A. Zeb, A. Rasheed, and T. Saeed, “Stochastic mathematical model for the spread and control of Corona virus,” Advances in Difference Equations, vol. 2020, no. 1, pp. 1-11, 2020. doi: 10.1186/s13662-019-2438-0
  • S. He, S. Tang, and L. Rong, “A discrete stochastic model of the COVID-19 outbreak: Forecast and control,” Math. Biosci. Eng, vol. 17, no. 4, pp. 2792-2804, 2020. doi: 10.3934/mbe.2020153
  • K. Kozioł, R. Stanisławski, and G. Bialic, “Fractional-Order SIR Epidemic Model for Transmission Prediction of COVID-19 Disease,” Applied Sciences, vol. 10, no. 23, p. 8316, 2020. doi: 10.3390/app10238316
  • S. Ahmad, A. Ullah, Q. M. Al-Mdallal, H. Khan, K. Shah, and A. Khan, “Fractional-order mathematical modeling of COVID-19 transmission,” Chaos, Solitons & Fractals, vol. 139, p. 110256, 2020. doi: 10.1016/j.chaos.2020.110256
  • R. P. Yadav and V. Renu, “A numerical simulation of fractional-order mathematical modeling of COVID-19 disease in case of Wuhan China,” Chaos, Solitons & Fractals, vol. 140, p. 110124, 2020/11/01/2020. doi: 10.1016/j.chaos.2020.110124
  • A. Badi, “A study on control of novel corona-virus (2019-nCoV) disease process by using PID controller,” medRxiv, 2020.
  • C. Tsay, F. Lejarza, M. A. Stadtherr, and M. Baldea, “Modeling, state estimation, and optimal control for the US COVID-19 outbreak,” Scientific reports, vol. 10, no. 1, pp. 1-12, 2020. doi: 10.1038/s41598-020-67459-8
  • C. J. Silva et al., “Optimal control of the COVID-19 pandemic: controlled sanitary deconfinement in Portugal,” Scientific reports, vol. 11, no. 1, pp. 1-15, 2021. doi: 10.1038/s41598-020-79139-8
  • W. Choi and E. Shim, “Optimal strategies for social distancing and testing to control COVID-19,” Journal of theoretical biology, vol. 512, p. 110568, 2021. doi: 10.1016/j.jtbi.2020.110568
  • M. M. Morato, S. B. Bastos, D. O. Cajueiro, and J. E. Normey-Rico, “An optimal predictive control strategy for COVID-19 (SARS-CoV-2) social distancing policies in Brazil,” Annual reviews in control, vol. 50, pp. 417-431, 2020. doi: 10.1016/j.arcontrol.2020.07.001
  • A. Ibeas, M. De La Sen, and S. Alonso-Quesada, “Robust sliding control of SEIR epidemic models,” Mathematical Problems in Engineering, vol. 2014, 2014. doi: 10.1155/2014/104764
  • S. Nuñez, F. A. Inthamoussou, F. Valenciaga, H. De Battista, and F. Garelli, “Potentials of constrained sliding mode control as an intervention guide to manage COVID19 spread,” Biomedical Signal Processing and Control, vol. 67, p. 102557, 2021. doi: 10.1016/j.bspc.2021.102557
  • A. Ibeas, M. Shafi, M. Ishfaq, and M. Ali, “Vaccination controllers for SEIR epidemic models based on fractional-order dynamics,” Biomedical Signal Processing and Control, vol. 38, pp. 136-142, 2017. doi: 10.1016/j.bspc.2017.05.013
  • M. Das and G. Samanta, “Optimal control of fractional-order COVID-19 epidemic spreading in Japan and India 2020,” Biophysical Reviews and Letters, vol. 15, no. 04, pp. 207-236, 2020. doi: 10.1142/S179304802050006X
  • S. Alonso-Quesada, M. De la Sen, A. Ibeas, and R. Nistal, “A vaccination strategy based on linearization control techniques for fighting against epidemic diseases propagation,” Advances in Difference Equations, vol. 2013, no. 1, pp. 1-18, 2013. doi: 10.1186/1687-1847-2013-364
  • S. Alonso-Quesada, M. de la Sen, and A. Ibeas, “A Vaccination Control Law based on Feedback Linearization Techniques for SEIR Epidemic Models,” in BIOINFORMATICS, 2012, pp. 76-85.
  • V. Singh et al., “Prediction of COVID-19 corona virus pandemic based on time series data using Support Vector Machine,” Journal of Discrete Mathematical Sciences and Cryptography, pp. 1-15, 2020.
  • V. Bhatnagar et al., “Descriptive analysis of COVID-19 patients in the context of India,” Journal of Interdisciplinary Mathematics, pp. 1-16, 2020.
  • T. Chen, B. Daleanu, D. Souissi, T. Chen, L. N. Oksendal, and J. Chen, “A new fractional model and optimal control to model chaotic problems,” Journal of Information and Optimization Sciences, vol. 42, no. 1, pp. 93-107, 2021. doi: 10.1080/02522667.2019.1698400
  • M. Awais, F. S. Alshammari, S. Ullah, M. A. Khan, and S. Islam, “Modeling and simulation of the novel coronavirus in Caputo derivative,” Results in physics, vol. 19, p. 103588, 2020. doi: 10.1016/j.rinp.2020.103588

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.