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A novel computer virus propagation model and its dynamics. (English) Zbl 1255.68058
Summary: By taking into account the fact that, in general, a computer immediately possesses infectivity as soon as it is infected, a novel computer virus propagation model, known as the SLBS model, is established. It is proved that the dynamic behaviour of the model is determined by a threshold R 0 . Specifically, the virus-free equilibrium is globally asymptotically stable if R 0 1, whereas the virulent equilibrium is globally asymptotically stable if 1<R 0 4. It is conjectured that the virulent equilibrium is also globally asymptotically stable if R 0 >4. These results suggest some effective strategies for eradicating computer viruses distributed in the Internet.
MSC:
68N99Software
37N99Applications of dynamical systems