the fact of being able to compete successfully with other companies, countries, organizations, etc.

It is not true there is a crisis in the country's scientific or technological competitiveness. 国家科技竞争力出现危机（这事）不是真的。

the fact of a person wanting very much to win or be more successful than other people

She has a heel injury but her competitiveness tends to overcome physical pain. 尽管她脚后跟有伤，但她的好胜心往往会克服身体上的痛苦。