  We consider the non-equilibrium dynamics for the Widom-Rowlinson model
(without hard-core) in the continuum. The Lebowitz-Penrose-type scaling of the
dynamics is studied and the system of the corresponding kinetic equations is
derived. In the space-homogeneous case, the equilibrium points of this system
are described. Their structure corresponds to the dynamical phase transition in
the model. The bifurcation of the system is shown.
