I don't remember for sure but I think it was stopped naturally in some places by wild turkeys. That was in the US great plains.
In the middle east, I believe, these locust are poisonous to the predators that could eat them, so I don't know if there is a good nature stop. (Because of their colors which indicate to predators their poisonous nature.
They are not poisonous, per se though some of the herbs some locusts might have gotten into could make predators sick.
The Mormons speak of locusts threatening their crops in Utah during one season in the 1800’s but a great flock of Gulls from the Salt Lake came and made short work of them....the story appears to be true from differing accounts from the time.