Mathematical Analysis of a System Dynamics Model of a Peer-to-Peer Network
Vincent Joseph Papia · Digital WPI · 2006
This project provides a mathematical analysis of a seven-component ODE model of a peer-to-peer file sharing network. A steady state analysis was performed on the system. Under certain conditions, the steady state was shown to be unique. In addition, numerical simulations were performed using Simulink, a MATLAB package. Steady solutions and periodic solutions were found.