In this paper, we proposed an epidemic model for active infectious nodes in computer network. Basic reproduction number  equilibrium, stability and the doubling time for an epidemic are found. It has been shown that if  then the infected fraction of the nodes disappears so the disease dies out, while if then the infected fraction persists and the feasible region is an asymptotic stability region for the endemic equilibrium state, also it has been shown that threshold condition and the doubling time for an epidemic to start have been obtained and it has been found that large the basic reproductive rate, shorter is the doubling time. Numerical methods  are employed to solve and simulate the system of equations. The simulated results may help us to understand the spread of malicious objects in computer network.

active infectious nodes, e-epidemic model, basic reproduction number.