In this contribution, innovations in the simulation of the optical transmission path are presented specifically, the dynamic performance analysis of erbium doped fiber amplifier (EDFA) properties for system applications is focused. Our EDFA simulation model is based on population equations of ions that can describe mutual relations between three states of ions in the EDFA amplifier. The presented numerical approach includes a signal gain and noise contributions to the single input channel amplification using the steady state modelling coming out of a dynamic model. The EDFA model in the steady state can be consequently applied for a purpose of advanced si mulations performed in the complete optical transmission path.