I never had any idea about invasive and not native plants being a threat or problem to us. But some time back, I began to notice real early in the spring, this little plant growing in my rock garden. It had a tiny pretty shiny yellow blossom. Kinda reminded me of swamp buttercups only real tiny. Then the next year I noticed more of them. Then more and more and next in the lawn. So I started to pull the ones from the rock garden and noticed tiny beebee sized bulbs on the roots, maybe 6-8 on each plant. That is if I was lucky enough for the bulbs to stay attached to the plant. Most of the time they broke off and SURE ENOUGH, started 6-8 new plants. So after 5 years or so I realized that they were totally covering the ground maybe in April, yellow blossoms all over. Kinda pretty but were taking over the whole rock garden. I took a plant into the extension office and they told me they were on the invasive list in several states but not in Michigan. She said, "Don't give away anything from that area. Spray with a weed killer." I don't remember the name of the thing.
I have no idea where this thing came from. Think it might have come in on a purchased plant. So we dug up all the good plants, put them in pots for two years so we could watch them and then took about 4" of the soil out and dumped it back on our pile way back of the yard. Then we put in new soil that we purchased. Now I watch carefully and in the spring if I see some coming up, I take a pointy digger and dig out a clump of dirt making sure to get all the tiny bulbs and throw out the whole thing in the trash.
Also, I have planted stuff around the pond that I have received from other ponders and just last year, we dug them all out and tossed most of them because some were going all over the place and not staying by the pond. They developed long runners and took off across the lawn. Some were going down under the liner and I hope they aren't tough enough to work through the liner.