You searched for invasive species named Albizia:    

1. Albizia julibrissin (tree)   

Albizia julibrissin is commonly used as an ornamental tree because of its appealing fragrance, showy flowers and low maintenance requirement. It has escaped from the urban landscape and competes with native plants in disturbed habitats and occasionally in forested areas. Typical disturbed habitat may include roadsides, vacant lots and riparian areas. Albizia julibrissin prefers full sunlight but is salt and drought tolerant and can thrive in a wide range of soil types.

Common Names: mimosa, powderpuff tree, silk tree, silky acacia

2. Albizia lebbeck (tree)     

         Interim profile, incomplete information

Albizia lebbeck probably originated in tropical Asia and was introduced for forestry or erosion control in many countries. Fast-growing and reaching 18 to 30m in height, it is now naturalised mainly in dry tropical regions and can invade natural and semi-natural environments, as is the case in Mayotte and La Réunion.

Common Names: bois noir des bas, lebbek, raom tree, siris tree, soros-tree, woman's tongue, woman's-tongue tree

Synonyms: Acacia lebbeck (Linnaeus) Willd., Mimosa lebbeck L.

3. Falcataria moluccana (tree)     

         Interim profile, incomplete information

Falcataria moluccana is a fast-growing tree, which can reach 40 metres in height and has been widely planted in the tropics. Able to colonise indigenous forest ecosystems, Falcataria moluccana is regarded in many countries as one of the greatest threats to native flora.

Common Names: batai, bataiwood, Molucca albizia, Moluccan sau

Synonyms: Adenanthera falcataria L., Albizia falcataria (L.) Fosb.,, Albizia moluccana Miq., Paraserianthes falcataria (L.) I. Nielsen