A Dynamic Economic Model with Discrete Timeand Consumer Sentiment

摘要

The paper describes a dynamical economic model with discrete time and consumer sentimentin the deterministic and stochastic cases. We seek to demonstrate that consumer sentiment maycreate fluctuations in the economical activities. The model possesses a flip bifurcation and aNeimark-Sacker bifurcation, after which the stable state is replaced by a (quasi) periodic motion.We associate the difference stochastic equation to the model by randomizing the control parameterd and by adding one stochastic control. Numerical simulations are made for the deterministic andstochastic models, for different values of the control parameter d.