A computer virus model with graded cure rates. (English) Zbl 1258.68020
Summary: A dynamical model characterizing the spread of computer viruses over the Internet is established, in which two assumptions are imposed: (1) a computer possesses infectivity once it is infected, and (2) latent computers have a lower cure rate than seizing computers. The qualitative properties of this model are fully studied. First, the basic reproduction number, , for this model is determined. Second, by introducing appropriate Lyapunov functions, it is proved that the virus-free equilibrium is globally asymptotically stable if , whereas the viral equilibrium is globally asymptotically stable if . Next, the sensitivity analysis of to three system parameters is conducted, and the dependence of on the remaining system parameters is investigated. On this basis, a set of policies is recommended for eradicating viruses spreading across the Internet effectively.
|68M99||Computer system organization|
|93C15||Control systems governed by ODE|
|34K60||Qualitative investigation and simulation of models|