The board of county commissioners of each and every county of this state are all hereby granted full power and authority to declare any predatory animal, including coyote, that feeds upon, preys upon or destroys any poultry or livestock of any kind upon any public or private lands within their respective counties, or any rodent, jack-rabbit, gopher, ground squirrel, cricket, locust, grasshopper and other insect pests or plant disease causing organisms/agents or any other invertebrate organism that feeds, preys upon, or destroys any livestock, natural grasses, or cultivated crops of any kind upon any public or private lands within their respective counties, to be agricultural pests, and to take all steps that they may deem necessary to control such pests.