There was a recent Reply All episode about the feral hog problem in the US[0]. Something that stood out was that hunting in that case actually made things worse. Hunting feral hogs is really fun to a portion of the population, which creates an incentive to keep them around to continue hunting them. But they reproduce too quickly to do this responsibly.
https://gimletmedia.com/shows/reply-all/n8hw3d/149-3050-fera...