Persian Silk Tree (Albizia julibrissin) is not listed on the invasive species list for Ohio. But, this tree is at the very borderline of its cold hardiness in central Ohio - zone 6. This means it may not survive a colder than average winter here. This tree is also very susceptible to a vascular wilt disease that can kill it back to the ground. Persian silk tree is not considered to be a quality plant because of insect and disease problems. There are several cultivars on the market that may prove to be better than the straight species.