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Spectra of Galactic Cosmic Rays (GCRs) measured at the Earth are thecombination of several processes: sources production and acceleration,propagation in the interstellar medium and propagation in the heliosphere.Inside the solar cavity the flux of GCRs is reduced due to the solarmodulation, the interaction which they have with the interplanetary medium. Werealized a 2D stochastic simulation of solar modulation to reproduce CR spectraat the Earth, and evaluated the importance in our results of the LocalInterstellar Spectrum (LIS) model and its agreement with data at high energy.We show a good agreement between our model and the data taken by AMS-01 andBESS experiments during periods with different solar activity conditions.Furthermore we made a prediction for the flux which will be measured by AMS-02experiment.

Proton Modulation in the Heliosphere for Different Solar Conditions and Prediction for AMS-02