A dynamical version of the Widom–Rowlinson model in the continuum is considered. The dynamics is modelled by a spatial two-component birth-and-death Glauber process where particles, in addition, are allowed to change their type with density dependent rates. An evolution of states is constructed in terms of correlation function evolution in a certain Ruelle space. It is shown that such evolution provides the unique weak solution to the associated Fokker–Planck equation. Existence of a unique invariant measure and ergodicity with exponential rate is established. Vlasov scaling is performed and the chaos preservation property is shown.