The influence of delay and spatial factors on the dynamics of solutions in the mathematical model “supply-demand”

A generalized version of the macroeconomic model “supply-demand” is considered. The main version of this model possesses a single attractor, namely, the state of economic equilibrium. We analyze a nonlinear boundary-value problem for a partial differential equation with delay on the right-hand side. The analysis of solutions in a neighborhood of the equilibrium state is reduced to the study of local bifurcations of the complex Ginzburg–Landau equation. For the basic boundary-value problem, the existence of cycles is proved, including cycles depending on the spatial variable.