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This work highlights the issues of the calculation of the cosmic ray protons transport throughthe Earth's atmosphere during the high solar activity. The influence on the ionization by protonsduring the ground level enchancement events and for the case of ionization induced byparticles with energies in the energy range of 10 MeV - 100 MeV is considered. A description isgiven of the numerical model parameters implemented with the GEANT4 software developmenttoolkit, the implementation of the atmosphere parameters (NRLMSISE-00), the source ofprimary particles and detectors. An estimate of the equivalent dose is also made on the basis ofmodeling the irradiation of a prototype (the water volume) with the various particle types(neutrons, electrons, protons, photons, muons) taking into account the radiation weight factors.Since the values of the fluxes differ significantly at the different energies, the secondary particlespectra in the Earth's atmosphere are additionally calculated, which makes it possible toseparate the radiation weight factors not only by the type of the particles, but also by the energyrange. The relevance of such calculations is due to ensuring radiation safety during flights ofthe airliner crews through the polar regions, as well as the general scientific interest in the effectof the solar energetic protons with large fluxes on the Earth's atmosphere in part having thesmall value of the geomagnetic cutoff rigidity. The work also presents methods for verifying themodel based on data from both the ground-based particle detectors and the experiments withthe Geiger counter launch up to altitudes of 30 km. The possibility of creating a near-realtimemodel using GOES satellite data is being considered.