  We consider a Skyrme fluid with a constant radial profile in locally
rotational Kantowski-Sachs spacetime. The Skyrme fluid is an anisotropic fluid
with zero heat flux and with an equation of state parameter $w_{S}$ that
$\left\vert w_{s}\right\vert \leq\frac{1}{3}$. From the Einstein field
equations we define the Wheeler-DeWitt equation. For the last equation we
perform a Lie symmetry classification and we determine the invariant solutions
for the wavefunction of the model. Moreover from the Lie symmetries of the
Wheeler-DeWitt equation we construct Noetherian conservation laws for the field
equations which we use in order to write the solution in closed form. We show
that all pf the cosmological parameters are expressed in terms of the scale
factor of the two dimensional sphere of the Kantowski-Sachs spacetime. Finally
from the application of Noether's theorem for the Wheeler-DeWitt equation we
derive conservation laws for the wavefunction of the universe.
