The stability of a worm propagation model with time delay 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 and time delay property is proposed. Whereas in the SIR model once a node is cured after infection it becomes permanently immune, we assume this immunity to be temporary, since the cured nodes may again become infected, maybe with a different strain of the same worm. So we obtain a differential system with time delay. Based on homogeneous networks the dynamics of this model are analyzed in detail, where global stability of equilibriums of the model is studied in this paper.