Collocations for pest - noun

common
major, serious
destructive
agricultural, crop, garden, plant
insect
sex (in newspapers)
Police are looking for a sex pest who is frightening early-morning joggers.

control, repel
These birds provide a useful function in controlling insect pests.

eradicate, kill

control, controller (esp. BrE), management
a pest control officer (BrE)
a pest control operator (AmE)

population
infestation