Recent studies have shown that the majority of today's internet traffic is
related to Peer to Peer (P2P) traffic. The study of bandwidth in P2P networks
is very important. Because it helps us in more efficient capacity planning and
QoS provisioning when we would like to design a large scale computer networks.
In this paper motivated by the behavior of peers (sources or seeds) that is
modeled by Ornstein Uhlenbeck (OU) process, we propose a model for bandwidth in
P2P networks. This model is represented with a stochastic integral.