The situation with bison in the US was deeply unnatural when you think about it. Bison are large herbivores, that can reproduce fairly quickly, and that don't have any consistent predators.
Nothing in the US can hunt them successfully and consistently. A wolf pack can take down a grown bison, but it's risky for them, and the wolf population was nowhere large enough to control the bison population numbers. Cougars and coyotes can prey on calves, but not on healthy grown bison.