I found multiple kinds of competition within the business realm.

Destructive Competition - seeks to benefit an individual or group by damaging and/or eliminating competing individuals or groups. In this type of competition the destruction of one group is needed for the survival of another. 

Co-operative Competition - is based on promoting mutual survival.

Direct Competition - where products which perform the same function compete against each other (i.e. one butter company competing against another butter company).

Indirect Competition - where products which are close substitutes for one another compete (i.e. a butter company competes against a margarine company).

Budget Competition - anything on which the consumer might want to spend their available money on.