My PS3's nternet breaaks roughly every 5 minutes, it is really irritating; can this be fixed?

May be...

My internet on my computers is fine; I have a wireless router and all the other neccessary components as well.

It the wirless. IF you have your computer on it takes up bandwidth so does wireless phones.

go to the website for the company or companies that makes your modem and router. Make sure you have the most up-to-date firmware for them both. My PS3 had a similar problem until I updated the router's firmware.