A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives.
| Autor: | Kumar P; Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab 151001 India., Erturk VS; Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Atakum, 55200 Samsun, Turkey., Murillo-Arcila M; Instituto Universitario de Matematica Pura y Aplicada, Universitat Politècnica de València, 46022 Valencia, Spain., Banerjee R; Department of Electrical Engineering, National Institute of Technology, Silchar, India., Manickam A; School of Advanced Sciences & Languages, Department of Mathematics, VIT Bhopal University, Kottri Kalan (Village), 466 114 Sehore (District), Madhya Pradesh India. |
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| Jazyk: | angličtina |
| Zdroj: | Advances in difference equations [Adv Differ Equ] 2021; Vol. 2021 (1), pp. 341. Date of Electronic Publication: 2021 Jul 20. |
| DOI: | 10.1186/s13662-021-03499-2 |
| Abstrakt: | In this study, our aim is to explore the dynamics of COVID-19 or 2019-nCOV in Argentina considering the parameter values based on the real data of this virus from March 03, 2020 to March 29, 2021 which is a data range of more than one complete year. We propose a Atangana-Baleanu type fractional-order model and simulate it by using predictor-corrector (P-C) method. First we introduce the biological nature of this virus in theoretical way and then formulate a mathematical model to define its dynamics. We use a well-known effective optimization scheme based on the renowned trust-region-reflective (TRR) method to perform the model calibration. We have plotted the real cases of COVID-19 and compared our integer-order model with the simulated data along with the calculation of basic reproductive number. Concerning fractional-order simulations, first we prove the existence and uniqueness of solution and then write the solution along with the stability of the given P-C method. A number of graphs at various fractional-order values are simulated to predict the future dynamics of the virus in Argentina which is the main contribution of this paper. Competing Interests: Competing interestsThis research does not have any conflict of interest. There is funding available to support this study. (© The Author(s) 2021.) |
| Databáze: | MEDLINE |
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