compete vs emulate

compete

verb
  • To be in a position in which it is possible to win or triumph. 

  • To take part in a contest, game or similar event 

  • To be in battle or in a rivalry with another for the same thing, position, or reward; to contend 

emulate

verb
  • To copy or imitate, especially a person. 

  • of a program or device: to imitate another program or device 

How often have the words compete and emulate occurred in a corpus of books? (source: Google Ngram Viewer )