Scientific publications

The mathematical model of sector capital distribution dynamics over efficiency levels with the depreciation is proposed. The qualitative analysis of the model is presented. The globally stable set (attractor) is constructed. The equilibria of the proposed dynamical model are determined, in the case of two efficiency levels their global stability is proved. It is shown that the global stability of the equilibrium means that the depreciation process causes excess production. It is proved that in the case of three efficiency levels there exists a unique equilibrium. In the case without the capital migrating from the second level to the first one the global stability of the equilibrium is proved.