BJJ/Grappling Conditioning v.s. MMA Conditioning
The biggest difference between the two will come into play when you're getting closer to a match and start getting really specific in your conditioning. In MMA, you have to work both standing and on the ground and takedowns as part of conditioning, which in BJJ you just need to work conditioning specific to that sport. There are also some differences in which muscles need the most muscular endurance, and as I said before you need to incorporate more static holds/positions in your BJJ strength and conditioning routine. I have a post somewhere on here where I talk about how you can do conditioning drills for BJJ that are more horizontal and in positions similar to on the ground, this is something you'd want to be doing as you transition from general to more specific training.The whole post is worth reading - as is Joel's book