The Erbium Doped Fibre Amplifier (EDFA) has been extensively developed up to the present date due to its contribution with existing optical fibre system. low insertion loss, low crosstalk high gain, polarization insensitivity and low noise figure (NF). The preferable pumping wavelengths for EDFAs are 980 nm and 1480 nm, which creates a 3-level and 2-level system respectively. The advantages of 980 nm as a pumping wavelength compared ro l-ISO nm are full ion inversion. a lower noise figure and,negligible excited state absorption (ESA). cl model simulating the 3-level energy system of the Erbium-doped fibre amplifier (EDFA) in a co-propagating configuration for 980 nm pump wavelength range is presented and discussed. The characteristics being considered for performance are gain, output signal power. excess pump power a,ld noise figure. The theoretical model is developed to numerically solve the coupled differential equations of the pump and signal power evolution along the fibre. This numerical model uses the relaxation technique for convergence, whereas the differential equations are solved using the simple Euler method.