  We present a general analytical treatment of cosmological models commanded by
three interactive fluids with arbitrary barotropic indexes. The variable
equations of state case are applicable to universes with quintessences, k
essences and holographic fluids and we pay some attention to the holographic
case. We also propose the need to extend the functional forms of the
holographic energy densities that are usual in the literature in the face of
the incompatibility presented by them when special interactions are used.
