Abstract: Topological dynamics of mobile peer-to-peer are exacerbated by the changes of mobile user’s location and interest. An attempt is made to predict the future availability of wireless links based on stable group mobility model. Intuitively, mobile peers within the same group tend to have a high probability of keeping stable distances from each other. The stable-group model is used, which helps predict the future availability of wireless links and leads to fast amplifying the system’s total streaming capacity using its self-growing. The extensive simulation results show the efficiency of the proposed model in a mobile peer-to-peer media streaming system.