To characterize the delivery performance of message dissemination in Disruption/Delay Tolerant Networks, various methods have been proposed. However, existing work shares a common simplification that the pairwise meeting rate between any two mobile nodes is exponentially distributed. In this paper, instead of relying on such assumption, we jointly consider the deactivation-rate over relay nodes and the number of sinks deployed in the network as the primary system parameters. Then, an ODE-based theoretical framework is proposed in a stochastic manner, which enables to describe how these two parameters affect the performance of a message delivery process using controlled epidemic routing. Via extensive experiments, the high accuracy of our analytical framework are verified.