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.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Papia, Vincent Joseph

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-042606-121658

Advisor

• Farr, William W.
• Pavlov, Oleg V

Year

• 2006

Date created

• 2006-04-26

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright

License

• All rights reserved

Last modified

• 2021-02-01