Dynamic model SIR of the spread of virus inside computers in scale free network

The aim of this paper is to describe the SIR (Susceptible-Infected-Removed) stochastic epidemic model for computer viruses by merging the time Markov chain of the minimal traffic model and to control the virus propagation. We have applied this model to the scale network to determine how the dynamics of virus propagation is affected by the traffic flow in both the free flow and the congested phases. To this end, a continuous is considered and a detailed analysis. Numerical results are presented in order to illustrate our analysis.