The authority to regulate the breeding, raising, producing, marketing or any other phase of the production or distribution, of domestic fur-bearing animals as defined in chapter 30, title 25, Idaho Code, and domestic cervidae as defined in chapter 37, title 25, Idaho Code, or the products thereof, is vested in the department of agriculture. Nothing in this section shall limit or affect the powers or duties of the fish and game commission and the department of fish and game relating to nondomestic fur-bearing animals and cervidae or the capture and taking thereof.