Modeling and analyzing the Spread of worms with impulsive effect on homogeneous networks

There has been a constant barrage of worms over the internet during the recent past. To develop appropriate tools for thwarting quick spread of worms, researchers are trying to understand the behavior of the worm propagation with the aid of epidemiological models. In this study, an improved SIR epidemic model with dynamic input-output property is proposed. Based on homogeneous networks the dynamics of this model under impulsive control are analyzed, where the conditions and threshold to the existence of the disease-free T-Periodic solution are established and the globally asymptotic stability is proved.