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The results of numerical modeling by using the global upper atmosphere model of the Earth (UAM) for reproducing the peak F2 layer electron density (N (m) F2) and total electron content (TEC) during recovery period after the magnetic storm of the April 15-20, 2002 are discussed. According to the simulations, the time it takes to reach a stationary regime of N (m) F2 and TEC diurnal variations is 24 hours, much shorter then the plasmasphere refilling time. The results are compared with the predictions of the IRI-2007 empirical model and GPS data on the TEC and found in good quantitative agreement for the latitudinal variations of N (m) F2 and TEC for daytime conditions in the southern hemisphere. The worst agreement occurs in the region of the main ionospheric trough.