Three kinds of pumping schemes are considered for erbium-doped fiber amplifiers (EDFA) pumped in the 980 nm absorption band excluding the effects of ASE process. Based on rate equations and light propagation equations under the condition of the steady-state, implicit and analytical solutions of the pump power and the gain for EDFA have been derived. Using these deduced expressions and numerical simulations, curves of the pump power and the gain as a function of fiber coordinate for different pump powers with small and large input signal, respectively, have been analyzed and discussed in three different pumping configurations, namely, forward pumping, backward pumping and bi-directional pumping.