  The effect of Lorentz invariance violation in cosmology has attracted a
considerable amount of attention. By using a dynamical vector field assumed to
point in the bulk direction, with Lorentz invariance holding on the brane, we
extend the notation of Lorentz violation in four dimensions to a
five-dimensional brane-world. We obtain the general solution of the field
equations in an exact parametric form for Bianchi type I space-time, with
perfect fluid as a matter source. We show that the brane universe evolves from
an isotropic/anisotropic state to an isotropic de Sitter inflationary phase at
late time. The early time behavior of anisotropic brane universe is largely
dependent on the Lorentz violating parameters $\beta_i, i = 1, 2, 3$ and the
equation of state of the matter, while its late time behavior is independent of
these parameters.
