Deterministic and stochastic dynamic model with delays of the financial crises contagions

摘要

A nonlinear dynamic model is set up to describe the international financial crises contagion. The model is given by deterministic and stochastic dynamic model with delays. In the deterministic model we set the condition for the existence of the delay parameter value for which the model displays a Hopf bifurcation. For the stochastic system, we identify the differential equation for the square mean value. The existence of the Hopf bifurcation is analyzed. The last part of this paper includes numerical simulation and conclusions.