This paper reports the experimental results on electromagnetically induced absorption(EIA)spectra observed in the system which does not satisfy completely the conditions given by Lezama et al[1999 Phys.Rev.A 59 4732].EIA signals on the transitions in the Cs D2 line are able to be observed,where Fg (→)F3=Fg-1 as open systems.Theoretical model of Lezama et al is good for the case Fg(→)=Fg+1,considering spontaneous transfer of atomic coherences or populations this model is not able to explain our experimental results obtained in the case Fg(→)Fe=Fg-1.This paper offers a theoretical model which is able to well explain the case Fg(→)Fe=Fg-1.It also uses this theoretical model to explain the split and shift of EIA peaks,which have been obtained in experiments.