  We consider Vlasov-type scaling for Markov evolution of birth-and-death type
in continuum, which is based on a proper scaling of corresponding Markov
generators and has an algorithmic realization in terms of related hierarchical
chains of correlation functions equations. The existence of rescaled and
limiting evolutions of correlation functions as well as convergence to the
limiting evolution are shown. The obtained results enable to derive a
non-linear Vlasov-type equation for the density of the limiting system.
