On the global stability of a peer‐to‐peer network model

In this paper, we analyze the stability properties of a system of ordinary differential equations describing the thermodynamic limit of a microscopic and stochastic model for file sharing in a peer‐to‐peer network introduced by Kesidis et al. We show, under certain assumptions, that this BitTorrent‐like system has a unique locally attracting equilibrium point which is also computed explicitly. Local and global stability are also shown.