Pest management vs. pest control
Pest management is a relatively new term that aims to recognize that our goal should be to reduce, or manage, a pest's numbers below that which causes damage or injury. Pest management is mainly practiced in agriculture and gardening where one of the goals is to maintain natural enemies. Sometimes you'll see the term integrated pest management.
The practice of pest control seeks to eliminate (exterminate) any potentially damaging pest. For example, most people would not be satisfied with just reducing the number of carpenter ants in the walls of their home but might be ok with only reducing (managing) the number of aphids in their garden to a level that does not affect production.