The reliability of model calculations is of considerable significance
because at energies above those attained by accelerators only model pr
edictions enable us to extract primary cosmic ray characteristics. Dif
ferent phenomenological models based on the quark-gluon picture of had
ron interactions are of use now as a foundation for experimental data
analysis at energies >10(15) eV. In this paper we consider the present
status of quark-gluon string (QGS) model with allowance made for semi
hard processes and (in the framework of so advanced model) discuss exp
erimental data obtained at energies 10(15) divided by 10(19) eV. In do
ing so we assume mass composition following from the diffusion notions
of cosmic ray propagation through the Galaxy. Some general problems o
f;EAS simulation and among them the simulation of electron-photon casc
ades are also discussed.