Meaning of “compete” - Learner’s Dictionary

compete

verb [ I ] us uk /kəmˈpiːt/
Are you competing in the 100 metres?The two athletes are competing for the gold medal.Over five hundred athletes are competing in this afternoon's race.It's so hard for small shops to compete with big supermarkets.We have to learn to compete in the international marketplace.
COMPETITION

B1 to take part in a race or competition:

She's competing for a place in next year's Olympics.
SUCCESS

B2 to try to be more successful than someone or something else:

It's difficult for small shops to compete with/against the big supermarkets.

(Definition of “compete” from the Cambridge Learner’s Dictionary © Cambridge University Press)