It shall be the duty of any person owning or keeping any dog or dogs which shall be found killing any livestock or other domestic animal or game animal to kill such dog or dogs, or remove such dogs from within the exterior boundaries of the Cowlitz Reservation, within 48 hours after being notified of that fact by the owner of such livestock or domestic animal or by an animal control authority. If such owner or keeper of a dog or dogs shall fail or neglect to comply with the provisions of this section, it shall be lawful for an animal control authority to kill such dog or dogs or for the owner of such livestock or domestic animal to kill such dog or dogs if found running at large.