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Peer-to-peer (P2P) technology encounters serious methodological limitations to guarantee the quality of services (QoS) of P2P networks with very few peers. In this paper, we propose multiple-access channel model (MACM) to merge different P2P networks as a whole to share their data-transfer capability. The model abstracts the interlaced data links between peers as logical data channels according to their spatial-temporal relations. The channels can be subdivided based on multiplex technology and serve different applications at same time. MACM redefines P2P data-packet structure and organizes data packets into time-related groups according to cascade-packet rule to support controllable data-projection between data pools of peers. MACM-based P2P networks can be created as virtual sub-network or virtual-peer bridging strategy so as to improve the performance of P2P networks with few peers but high priorities within Internet protocol television (IPTV) and wireless sensor network (WSN) applications.