Various options of numerical simulation of gas discharges in air-like mixtures under low pressures are compared in the present work. It is demonstrated that a semi-empirical one-dimensional model typically used in applications based on a quasi-analytical description of a glow discharge as a combination of cathode space and a positive glow gives only a qualitative description of the general trend for variation of electrical parameters of a discharge gap depending on gas mixture pressure. The model pretending to be a quantitative description is built on the basis of the averaged microscopic description of a gas-discharge medium as part of the non-local plasma model gradually complicated by means of expanding plasma component nomenclatures and elementary collisional and radiation processes flowing with them, which are taken into account as part of formalism of fluid equations for concentrations and energies.