An SLBRS model with vertical transmission of computer virus over the Internet. (English) Zbl 1248.68078
Summary: By incorporating an additional recovery compartment in the SLBS model, a new model, known as the SLBRS model, is proposed. The qualitative properties of this model are investigated. The result shows that the dynamic behavior of the model is determined by a threshold \(\mathcal R^0\). Specially, virus-free equilibrium is globally asymptotically stable if \(\mathcal R^0\leq 1\), whereas the viral equilibrium is globally asymptotically stable if \(\mathcal R^0>1\). Next, the sensitivity analysis of \(\mathcal R^0\) to four system parameters is also analyzed. On this basis, a collection of strategies are advised for eradicating viruses spreading across the Internet effectively.
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