Yes, as long as even a tiny breeding population survives, this pest will come back. It's probably going to take an annual treatment to keep it under control, at

Yes, as long as even a tiny breeding population survives, this pest will come back. It's probably going to take an annual treatment to keep it under control, at least until such time as we find a permanent solution to rid the world of blood sucking parasites, like blast the surface with a nuclear holocaust, then selectively reseed the planet with only desirable species.