SLBRS: Network Virus Propagation Model based on Safety Entropy

Abstract

Network viruses pose a great threat to cyberspace, which makes people study many different models of network virus propagation based on dynamic system theory. However, many models of network virus have not been carried out in-depth analysis on the security situation of network virus system, especially the research on the security of network virus propagation model using safety entropy is still in the early stage. In this paper, we propose a new type of SLBRS (Susceptible–Latent–Breaking-out–Recovered–Susceptible) network virus propagation model. Firstly, we analyze the dynamic characteristics of the SLBRS model such as stability, periodic orbit and basic reproduction number. Secondly, we analyzed the security of SLBRS model, and studied the security trend of the virus system on the basis of safety entropy and its derivative. Finally, numerical simulation experiments were carried out on SLBRS model and the trend of safety entropy, the simulation results verify the correctness of the model. Numerical simulation shows that SLBRS model avoids the shortcomings of state and parameter processing in previous studies, and the SLBRS model can describe the security trend of the system intuitively and effectively by using the method of safety entropy.