Stability Analysis of a Worm Propagation Model with Time Delay and Quarantine

摘要

There has a constant barrage of worms over the internet in recent years. In order to effectively prevent worm spreading, researchers are trying to understand the behavior of the worm propagation with the aid of epidemiological models. In this paper a worm propagation model with time delay and quarantine strategy is proposed and discussed. The spreading dynamics of the worms is analyzed, the spreading critical threshold and equilibriums are derived. The global stability of equilibriums is proved and numerical simulations are presented to confirmed the analytical results.