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

Operator approach to Vlasov scaling for some models of spatial ecology