Numerical treatment on the new fractional-order SIDARTHE COVID-19 pandemic differential model via neural networks

Ayse Nur Akkilic; Zulqurnain Sabir; Muhammad Asif Zahoor Raja; Hasan Bulut

doi:10.1140/epjp/s13360-022-02525-w

Numerical treatment on the new fractional-order SIDARTHE COVID-19 pandemic differential model via neural networks

Eur Phys J Plus. 2022;137(3):334. doi: 10.1140/epjp/s13360-022-02525-w. Epub 2022 Mar 11.

Authors

Ayse Nur Akkilic¹, Zulqurnain Sabir², Muhammad Asif Zahoor Raja³, Hasan Bulut¹

Affiliations

¹ Department of Mathematics, Firat University, Elazig, Turkey.
² Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan.
³ Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Yunlin, Douliou, 64002 Taiwan, ROC.

Abstract

In this study, modeling the COVID-19 pandemic via a novel fractional-order SIDARTHE (FO-SIDARTHE) differential system is presented. The purpose of this research seemed to be to show the consequences and relevance of the fractional-order (FO) COVID-19 SIDARTHE differential system, as well as FO required conditions underlying four control measures, called SI, SD, SA, and SR. The FO-SIDARTHE system incorporates eight phases of infection: susceptible (S), infected (I), diagnosed (D), ailing (A), recognized (R), threatening (T), healed (H), and extinct (E). Our objective of all these investigations is to use fractional derivatives to increase the accuracy of the SIDARTHE system. A FO-SIDARTHE system has yet to be disclosed, nor has it yet been treated using the strength of stochastic solvers. Stochastic solvers based on the Levenberg-Marquardt backpropagation methodology (L-MB) and neural networks (NNs), specifically L-MBNNs, are being used to analyze a FO-SIDARTHE problem. Three cases having varied values under the same fractional order are being presented to resolve the FO-SIDARTHE system. The statistics employed to provide numerical solutions toward the FO-SIDARTHE system are classified as obeys: 72% toward training, 18% in testing, and 10% for authorization. To establish the accuracy of such L-MBNNs utilizing Adams-Bashforth-Moulton, the numerical findings were compared with the reference solutions.