| Abstract: | This paper aims to study the combined impact of external computers and network topology on the spread of computer viruses over the Internet. By assuming that the network underlying a recently proposed model capturing virus spreading behaviour under the influence of external computers follows a power-law degree distribution, a new virus epidemic model is proposed. A comprehensive study of the model shows the global stability of the virus-free equilibrium or the global attractivity of the viral equilibrium, depending on the basic reproduction number R0. Next, the impacts of different model parameters on R0 are analysed. In particular, it is found that (a) higher network heterogeneity benefits virus spreading, (b) higher-degree nodes are more susceptible to infections than lower-degree nodes, and (c) a lower rate at which external computers enter the Internet could restrain virus spreading. On this basis, some practical measures of inhibiting virus diffusion are suggested. |
