Deterministic and stochastic internet-style networks with delay

摘要

In this paper we investigate the dynamics of the Internet-Style Network with delay using the associated game theory. We establish the existence of the Hopf bifurcation and the normal form. The stochastic system is associated to the deterministic model and the mean values and the square mean values of the variables for the linearized stochastic system are analyzed. The last part of the paper includes numerical simulations and conclusions.