Mathematical model of discrete logic bomb with time-delay in the computer networks

In order to describe the dynamic characteristic of logic bomb virus in computer networks, the mathematical model of discrete logic bomb viruses is established. Firstly the disease-free equilibrium and the disease equilibrium are derived from the mathematical model. Then the asymptotic stability of the disease-free equilibrium is proved. And then the asymptotically stable conditions of the disease equilibrium is given by using the disc theorem. And the stable conditions are effective.