Stability analysis of worm propagation dynamics based on quarantine

In recent years, there has been a constant barrage of worms over the internet. 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 paper, two improvements of classical SIS (Susceptible-Infectious-Susceptible) and SIR (Susceptible-Infectious-Recovered) models with quarantine strategy are presented; the thresholds and equilibriums of appearance of worm endemic for these two dynamic models are found, furthermore, their stability is analyzed in detail, the numerical simulations confirmed well the theoretical results. So our study can provide insight into taking effective measures to prevent and control the spread of worm in the network.