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By incorporating an additional recovery compartment in the SLBS model, a new model, known as the SLBRS model, is proposed in this paper. The qualitative properties of this model are investigated. The result shows that the dynamic behavior of the model is determined by a threshold ℛ0. Specially, virus-free equilibrium is globally asymptotically stable if ℛ0≤1, whereas the viral equilibrium is globally asymptotically stable if ℛ0>1. Next, the sensitivity analysis of ℛ0 to four system parameters is also analyzed. On this basis, a collection of strategies are advised for eradicating viruses spreading across the Internet effectively.