Stability Analysis of An e-SEIR System in Network Society

Abstract

We analyzed the a discrete-time e-SEIR system, which represents the computer virus propagation model in network society. Firstly, we derive two kinds of equilibriums for the model. Secondly, we obtain sufficient stability condition for the no-disease equilibrium using the first Lyapunov stability method. Lastly, we obtain stability conditions for the disease equilibrium using disc theory.