In our deep south they're considered a challenge for sport hunters. I'm not sure how it works. I'm told the 'hard to track' is true, so encouraging hunting might not be that effective. They're called boars and sows here, usually.
I recommend using the nuclear weapons left over from our Federal Hurricane Abatement Program.
But now on the north side of the USA: https://www.theguardian.com/world/2019/sep/12/feral-hogs-us-canada-border-wall . It's an invasion.
And let Canada pay for it, of course.