DYNAMIC BEHAVIOR OF THE SOLUTIONS FOR A FINANCIAL SYSTEM WITH DELAYS

Abstract

Several four-dimensional financial systems with or without time delays have been discussed in the literature. In this paper, the dynamics of a general four-dimensional financial model with four delays is investigated. The dynamic behavior of the solutions is provided by using of the mathematical analysis method. Two sufficient conditions to guarantee the existence of the permanent oscillations for the model are obtained. It is shown that the permanent oscillations occur if there exists a unique unstable equilibrium and all solutions are bounded of the financial system. Numerical simulation is provided to demonstrate the proposed results.