Investigation of the stability of a nontrivial solution of the system of kinetic equations of chemical reaction

The article deals with a mathematical model of olefins’ hydroaluminazing chemical reaction. The authors investigate asymptotic stability of non-zero equilibrium position of the system. The approach is based on the comparison method of E.V. Voskresensky and on Brower component-wise asymptotic equivalence of examined system and some linear system. It is shown that the equilibrium position is asymptotically stable in the first component and unstable with respect to the rest of the components.