The interaction between bi-fermionic and bosonic degrees of freedom is desc
ribed by using an effective Hamiltonian inspired in QCD. The Dyson boson ma
pping technique is utilized in conjunction with a coherent state basis to c
onstruct energy landscapes in a multiparametric space. The appearance of fe
rmionic and bosonic condensates is studied by minimizing the potential ener
gy surface. The relationship between the domains of fermion and boson conde
nsates and the order parameters of the model is discussed.