Invasive

An introduced (non-native) plant that spreads quickly disrupting the local ecosystem and isn't checked by climate, grazing, or other natural means.

Extreme examples include kudzu vine (Pueraria lobata), which can grow 35 feet in one season and which the American Horticultural Society's A-Z Encyclopedia of Garden Plants calls "the vine that ate the South". Invasive plants may be great in some instances for a ground cover but can become dangerous for a well kept, under control garden bed.