Modification of the polymerpolymer interfacial tension is a way to tailor-make particle morphology of waterborne polymerpolymer hybrids. This allows achieving a broader spectrum of application properties and maximizing the synergy of the positive properties of both polymers, avoiding their drawbacks. In situ formation of graft copolymer during polymerization is an efficient way to modify the polymerpolymer interfacial tension. Currently, no dynamic model is available for polymerpolymer hybrids in which a graft copolymer is generated during polymerization. In this article, a novel model based on stochastic dynamics is developed for predicting the dynamics of the development of particle morphology for composite waterborne systems in which a graft copolymer is produced in situ during the process. (c) 2012 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2012