Faculty Advisor

Farr, William W

Faculty Advisor

Pavlov, Oleg V.

Abstract

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.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2006

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

Advisor Department

Social Science and Policy Studies

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