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Two coupled spatial birth-and-death Markov evolutions on $\mathbb{R}^d$ areobtained as unique weak solutions to the associated Fokker-Planck equations.Such solutions are constructed by its associated sequence of correlationfunctions satisfying the so-called Ruelle-bound. Using the general scheme ofVlasov scaling we are able to derive a system of non-linear, non-localmesoscopic equations describing the effective density of the particle system.The results are applied to several models of ecology and biology.

Evolution of states and mesoscopic scaling for two-component birth-and-death dynamics in continuum