Control on the transmission of computer viruses in network

Аннотация

This study made an inductive discussion on the definition and characteristics of computer viruses and analyzed virus transmission models as well as virus control. Like tumor cells in human body, computer viruses will rapidly transfer and disperse if they are not controlled, indicating a poor stability. To investigate the transmission control of computer viruses, a dynamical model was established for virus transmission and the concept of “equivalent day” was introduced to analyze the dynamic characteristics of discrete transfer of the model and the stability of virus-free equilibrium points and endemic equilibrium points. The characteristic value was obtained by calculating the equation of the model. Moreover, the necessary and sufficient conditions for virus-free and endemic equilibrium points of the model were obtained by proof using Lyapunov first method and disc theorem. Then the model was compared with SIS and SIR models. Finally, a control item was added based on the virus discrete transmission model and the transformation trends of the number of the infected principle machine and the infective principal machine before and after the addition of the control item were compared. In this way, the optimal control strategy for virus transmission model was designed and the effectiveness of the optimal control was verified.