To provide a live and on demand video services over the internet due scalability issue, P2P technology which proved to be more scalable is widely used today. Since most of the video streams presented in P2P live video streaming systems are television channels all over the world, we therefore referred them as P2PTV systems. The behavior of single user is presented in terms of exponential closed queuing network. Based on the model we construct a behavioral model of multiple users in P2PTV-network with multiple channels. The stationary probability distribution of P2PTV-network model is obtained in a product form in terms of the number of channels and the number of users present in the network. Given the popularity of television channels we obtained formulas for the analysis of some QoE parameter in P2PTV-network with finite and infinite number of viewers. ©2010 IEEE.