Oscillatory epidemic prevalence in growing scale-free networks

We Study the persistent epidemic prevalence with oscillatory behavior and the extinction of computer viruses via e‐mails on a contact relational network growing with new users, for which scale‐free structure is estimated from real data. Typical oscillatory phenomenon is simulated in a stochastic model for execution and detection of viruses. The conditions of extinction by random and targeted immunizations for hubs are derived through bifurcation analysis for simpler deterministic models by using a mean‐field approximation without the connectivity correlations. We can qualitatively understand the mechanisms of the spread in linearly growing scale‐free networks