RT journal article
T1 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
A1 Kumar, Pushpendra
A1 Ertuk, V. S.
A1 Murillo Arcila, Marina
A1 Banerjee, R.
A1 Manickam, A.
A2 Matemáticas
K1 COVID-19
K1 Argentina
K1 Mathematical models
K1 TRR algorithm
K1 Atangana-Baleanu non-classical derivative
AB In this study, our aim is to explore the dynamics of COVID-19 or 2019-nCOV in Argentinaconsidering the parameter values based on the real data of this virus from March 03; 2020to March 29; 2021 which is a data range of more than one complete year. We propose aAtangana-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 andthen formulate a mathematical model to define its dynamics. We use a well-known effectiveoptimization scheme based on renowned trust-region-reflective (TRR) method to performthe model calibration. We have plotted the real cases of COVID-19 and compared ourinteger-order model with the simulated data along with the calculation of basic reproductivenumber. Concerning fractional order simulations,  first we prove the existence and uniquenessof solution and then write the solution along with the stability of the given P-C method.Number of graphs at various fractional-order values are simulated to predict the futuredynamics of the virus in Argentina which is the main contribution of this paper.
PB Springer
SN 1687-1847
YR 2021
FD 2021
LK http://hdl.handle.net/10498/35357
UL http://hdl.handle.net/10498/35357
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026