Theoretical Analysis And Simulations On Three Novel Computer Virus Propagation Models

With the rapid development of computer science and Internet technology, network security is growing prominence. Computer virus is definitely one kind of great threats. The popular solution is to stall antivirus software, firewall etc. on computers. However, new technologies always lag behind new viruses, so the propagating dynamics of computer viruses causes wide attention. The subject aims to establish dynamical models which can describe the propagation behavior of computer viruses, to reveal general rules governing the spread of computer viruses, and eventually to put forward effective predictive information and control strategies.Based on the predecessors’ research, a series of new computer virus propagation models have been proposed in this paper. Some important conclusions have been obtained through in-depth theoretical analysis and detailed numerical simulations. Specifically, the main research results in this paper are as follows.First, a new SLBRS(Susceptible-Latent-Breaking-Recovered) computer virus propagation model has been proposed on the basis of predecessors’ research. Theoretical analysis has shown that the model possesses a viral equilibrium which is globally asymptotically stable and there is no virus-free equilibrium. The simulations have verified the above theoretical results. What’s more, the rationality of the proposed model has been verified based on the analysis of the influence of model parameters on the system balance.Second, considering the effects of the nonlinear infection rate and removable storage medium, another new SLBRS model has been studied. A precise mathematical proof has revealed the existence of the viral equilibrium which is globally asymptotically stable. Comparison experiments have shown that the relatively smooth nonlinear infection rate is conducive to the contain of computer viruses and removable storage medium has a promotion that can’t be ignored on the spread of computer viruses.Third, to examine the role of The Countermeasure Competing Strategy on the inhibition of virus spread, a mixed viruses and countermeasures propagation model has been put forward. The outcomes are as follows. When 0R is less than the unit, the model has a unique globally asymptotically stable virus-free equilibrium. When 0R exceeds the unit, the model possesses a viral equilibrium as well as the above virus-free equilibrium. Under the above conditions, the viral equilibrium is proved to be locally asymptotically stable, while the virus-free equilibrium doesn’t possess stability. Numerical experiments have implied that the diffusion of countermeasures on the Internet contributes to the containment of virus spread. The conjecture that the viral equilibrium is globally asymptotically stable is also supported by the numerical simulation.To sum up, the main contributions of this paper are as follows. Three new computer virus propagation models have been proposed, and thorough theoretical analysis and detailed numerical simulations have been carried out. The relevant conclusions are of significance to the proposal of measures for virus prevention and control.