Kudzu was introduced in the South from Japan... I remember riding along the interstate with my family between Charlotte and Statesville during the summer months and joking about staying clear of the vine that was choking out most of the indigenous vegetation --- It moved so quickly that, surely it could overtake a human being loitering along the side of the road.
Talk about invasive.
Nothing kills kudzu. It would probably remain healthy and intact after nuclear devastation.
Finally, though, we're figuring out something that can battle the "mile-a-minute" vine:
GOATS.