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The notion of 'business models' for eBusiness is popular within both the academic and practitioner arenas; however, many of the models in use are static in nature and provide only a historical view. This paper demonstrates how traditional strategy theories and the emergent knowledge of eBusiness can be extended to provide a framework for unifying strategic business models for eBusiness with the business process models needed to operationalise them. The graphical modelling techniques from system dynamics create a 'triple pair construct' which captures the complex stocks and flows structures and the causal links between them. Specific attention is paid to service-based business propositions, and in this respect this paper builds from earlier work that has concentrated on physical good supply chains.