That seems to be a relat·ively common (or at least an @relates’ ; - ) misperception.
‘Competition’ relates () to specific locales, whether or not it is shared. If it’s shared, add competition within the species to the environment and survival of the fittest.1 Otherwise there is still survival of the fittest within the species, just not in direct competition with each other.
1 Although it might be survival of the friendliest or most cooperative… which would make them more fit to survive against the rest of the environment:
Survival of the friendliest
Survival of the Friendliest: Dogs and Humans