V.I. Gerasimenko Propagation of Initial Correlations in Active Soft Condensed Matter (37K, LaTeX ) ABSTRACT. For collisional dynamics, modeling the collective behavior of complex systems of mathematical biology, the process of propagation of initial correlations is described. The developed approach is based on the construction of a mean field limit for a solution of the Cauchy problem of the nonlinear BBGKY hierarchy for marginal correlation functions.