Abstract
Considering the horizontal and vertical propagation of computer viruses over the Internet, this article proposes a hybrid susceptible-latent-breaking-recovered-susceptible (SLBRS) model. Through mathematical analysis of the model, two equilibria (virus-free and virose equilibria) and their global stabilities are both proved depending on the basic reproduction number R 0 , which is affected by the vertical propagation of infected computers. Moreover, the feasibility of the obtained results is verified by numerical simulations. Finally, the dependence of R 0 on system parameters and the parameters affecting the stability level of infected computers are both analyzed.
Highlights
Computer virus is a malevolent network code designed to disseminate from one device to another [1]
Given the vertical spread of computer viruses and the fact that latent computers are still infectious, a new SLBRS model is introduced to discuss the spread of network viruses in both horizontal and vertical directions from a macroperspective
Combined with the analysis in the previous sections, we first analyze the sensitivity of R0 to system parameters and give a visualization diagram. en, we studied the influence of relevant parameters on R0 and drew a series of visualization graphs
Summary
Computer virus is a malevolent network code designed to disseminate from one device to another [1]. By studying the safety tendency of a virus system based on security entropy, Tang proposed a new application scenario SLBRS computer virus model [32] These models always focus on the horizontal propagation behavior of computer viruses. Given the vertical spread of computer viruses and the fact that latent computers are still infectious, a new SLBRS model is introduced to discuss the spread of network viruses in both horizontal and vertical directions from a macroperspective. This model is more sophisticated and reasonable than previous models, with the rapid growth of master servers.
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