  We consider a toy cosmological model with a gas of wrapped Dp-branes in
10-dimensional dilaton gravity compactified on a p-dimensional Ricci flat
internal manifold. A consistent generalization of the low energy effective
field equations in the presence of a conserved brane source coupled to dilaton
is obtained. It is then shown that the compact dimensions are dynamically
stabilized in string frame as a result of a balance between negative winding
and positive momentum pressures. Curiously, when p=6, i.e. when the observed
space is three dimensional, the dilaton becomes a constant and stabilization in
Einstein frame is also realized.
