When non-local species spread rapidly across large areas, what are they called?

The best illustration of this can be found in Kauai, Hawaii, where only about 1% of the plant life is native; the remainder, despite having been present for a long time, are invasive species, such as the Albizia tree, which is native to Africa.

Because the Albizia tree has large branch spans that can cover large distances without having a very large trunk, the people who brought it to Kauai—I believe they were British—needed shade because all the native trees had been cut down for farming. However, what they didn't realize was that the water intake in Kauai is different from that of Africa, so the Albizia tree spread quickly and grew to enormous heights.

I apologize for any errors in this information, and I hope I haven't offended anyone. I'd like to reiterate that while I'm not an expert, I do think I could share some knowledge, which is why I'm here. Invasive species are typically difficult to eradicate because, for whatever reason, they persist.

When non-local species spread rapidly across large areas, they are called invasive species.