  A generalized two-dimensional cubic Lotka-Volterra model with infinitesimal
parameters is studied. Three different cases have been considered, one
non-degenerate and two degenerate. The local behavior of the model has been
studied in the three cases. Six bifurcation diagrams with thirty different
regions have been obtained in the non-degenerate case, respectively, sixteen
diagrams with forty regions in the two degenerate cases.
