Abstract
AbstractWe consider a SEAIR epidemic model with Atangana–Baleanu fractional-order derivative. We approximate the solution of the model using the numerical scheme developed by Toufic and Atangana. The numerical simulation corresponding to several fractional orders shows that, as the fractional order reduces from 1, the spread of the endemic grows slower. Optimal control analysis and simulation show that the control strategy designed is operative in reducing the number of cases in different compartments. Moreover, simulating the optimal profile revealed that reducing the fractional-order from 1 leads to the need for quick starting of the application of the designed control strategy at the maximum possible level and maintaining it for the majority of the period of the pandemic.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference40 articles.
1. Dietz, K., Heesterbeek, J.A.: Bernoulli was ahead of modern epidemiology. Nature 408(6812), 513–514 (2000). https://doi.org/10.1038/35046270
2. Kermack, W.O., McKendrick, A.G.: Contributions to the mathematical theory of epidemics—I. Bull. Math. Biol. 53(1–2), 33–55 (1991)
3. Zhang, J., Ma, Z.: Global dynamics of an SEIR epidemic model with saturating contact rate. Math. Biosci. 185(1), 15–32 (2003)
4. Li, X.Z., Zhou, L.L.: Global stability of an SEIR epidemic model with vertical transmission and saturating contact rate. Chaos Solitons Fractals 40(2), 874–884 (2009)
5. Deressa, C.T., Duressa, G.F.: Modeling and optimal control analysis of transmission dynamics of COVID-19: the case of Ethiopia. Alex. Eng. J. 60(1), 719–732 (2021)
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