Neb. Rev. Stat. § 2-3294: Neb. Rev. Stat. § 2-3294

(1) A district may permit pets, domestic animals, and poultry to be brought upon, possessed, grazed, maintained, or run at large in all or any portion of a recreation area.

(2) Any person who brings upon, possesses, grazes, maintains, or allows to run at large any pet, domestic animal, or poultry in a recreation area when not permitted by the district shall be guilty of a Class V misdemeanor.