A two-dimensional mathematical model for carbon monoxide (CO) oxidation on the platinum (Pt) catalyst surface is investigated according to the Langmuir-Hinshelwood (LH) mechanism. The effects of structural changes of the catalytic surface, the substrate temperature and desorption of the product of reaction (CO 2) are taken into account. It is shown that taking into account the finiteness of CO 2 desorption, both the course of oxidation reaction and the stability region are only slightly affected.

By means of the method of Zubarev's nonequilibrium statistical operator, the generalized Fokker-Planck equation for the distribution function of liquidity accumulations has been obtained. The generalized velocity and transport kernels describing dynamic correlations between liquidity accumulations of different categories of families have been determined. The system of non-Markov transport equations for non-equilibrium average values of liquidity accumulations for different categories of families has been obtained. Memory effects have been analyzed using the fractional calculus, which has led to a system of transport equations for non-equilibrium average values of liquidity accumulations for different categories of families in fractional derivatives.