  Recent measurements of cosmic ray proton and helium spectra show a hardening
above a few hundreds of GeV. This excess is hard to understand in the framework
of the conventional models of Galactic cosmic ray production and propagation.
We propose here to explain this anomaly by the presence of local sources
(myriad model). Cosmic ray propagation is described as a diffusion process
taking place inside a two-zone magnetic halo. We calculate the proton and
helium fluxes at the Earth between 50 GeV and 100 TeV. Improving over a similar
analysis, we consistently derive these fluxes by taking into account both local
and remote sources for which a unique injection rate is assumed. We find cosmic
ray propagation parameters compatible with B/C measurements and for which the
proton and helium spectra remarkably agree with the PAMELA and CREAM
measurements over four decades in energy.
