Title page for E-project-042606-121658

Project Type MQP

Submission date 2006-04-26

Author
Vincent J Papia, MA

URN E-project-042606-121658

Title Mathematical Analysis of a System Dynamics Model of a Peer-to-Peer Network

Advisors
Farr, William W, MA
Pavlov, Oleg V., SS

Availability unrestricted

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.

Files
mqpwriteup_VincentPapia.pdf

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Project Type	MQP
Submission date	2006-04-26
Author	Vincent J Papia, MA
URN	E-project-042606-121658
Title	Mathematical Analysis of a System Dynamics Model of a Peer-to-Peer Network
Advisors	Farr, William W, MA Pavlov, Oleg V., SS
Availability	unrestricted
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.
Files	mqpwriteup_VincentPapia.pdf