Resource management continuity is indispensable against illegal resource dissemination and usage in open environment, which should be guaranteed by an effective constraint management mechanism. In detail, it includes two requirements, (1) guaranteeing resource dissemination continuability and purpose-consistency on the dissemination topology, and (2) allowing more-to-more dissemination relation with multiple dissemination policies available on the extended topology for more complicated applications. As we observed, the existed work cannot capture them satisfyingly. We propose Constraint Inheritance Relation (CIR) on a dynamic dissemination topology to specify the continuity of constraint management to capture the first requirement while extend the previous one-to-one dissemination to capture the second. The policy compatibility is maintained while multiple policies are available. We take it into Secure Resource Management (SRM) model for managing the complicated dissemination and usage constraints on diverse resources in dynamic dissemination transaction context. The result proves its feasibility and efficiency.