  In the present work, we study the dynamical evolution of an homogeneous and
anisotropic KS cosmological model, considering general relativity as the
gravitational theory, such that there are three different perfect fluids in the
matter sector. They are radiation, dust and phantom fluid. Our main motivation
is determining if the present model tends to an homogeneous and isotropic FRW
model, during its evolution. Also, we want to establish how the parameters and
initial conditions of the model, quantitatively, influence the isotropization
of the present model. In order to simplify our task, we use the Misner
parametrization of the KS metric. In terms of that parametrization the KS
metric has two metric functions: the scale factor $a(t)$ and $\beta(t)$, which
measures the spatial anisotropy of the model. We solve, numerically, the
Einstein's equations of the model and find a solution where the universe starts
to expand from a, small, initial size and continues to expand until it ends in
a {\it Big Rip} singularity. We explicitly show that for the expansive
solution, after same time, the universe becomes isotropic. Based on that
result, we can speculate that the expansive solution may represent an initial,
anisotropic, stage of our Universe, that later, due to the expansion, became
isotropic.
