The phrase "next competition" is correct and usable in written English.
You can use it when talking about an upcoming event or contest. Example: "I'm already practicing for the next competition in two weeks."
The next competition will be held next August.
These defeated concepts will probably now be entered into the next competition, due to be announced next year or the year after.
Her next competition will be the Women's British Open next month at Royal Liverpool Golf Club, where Woods won the British Open in 2006.
We find Jacqueline at the next competition.
The next competition is scheduled for 2010.
I'm cranky, quiet and depressed until my next competition".
The next competition will be held from mid-September to mid-October.
He proposed bringing the next competition to the natural amphitheater of San Francisco Bay.
We must focus on the next competition, and be prepared and eager for Chelsea on Tuesday".
He next competition will be the world trials in Cincinnati, June 22-24.
