South Dakota state prevents cities and counties from creating breed specific laws.
40-34-16. Ordinance specific as to breed of dog prohibited
No local government, as defined in § 6-1-12, may enact, maintain, or enforce any ordinance, policy, resolution, or other enactment that is specific as to the breed or perceived breed of a dog. This section does not impair the right of any local government unit to enact, maintain, or enforce any form of regulation that applies to all dogs.
Sturgis, SD did have a restrictions on pit bulls, but that ordinance is no longer legal with the passage of the state level legislation.