Analysis of a Mathematical Model for Worm Virus Propagation with Time Delay

Considering the characteristics of the propagation of worm, we can analyze it by epidemic model. In this paper, considering that to re-assembly system and the use of anti-virus software will take a period of time, so we introduce a time-delay to describe this period of time. On this basis, we build a SIDRQ model for Internet worm virus propagation depended on the two-factor model. By using the theory of differential equations, the dynamical properties of the model is analyzed, the regularity of Internet worm virus propagation is gained and numerical simulation is presented. The analysis techniques of the mathematical model provide theoretical foundation of control and forecast for Internet worm.