if I have understood your question correctly, you would like to control the invasive plants by biomanipulation. There are some studies on grass carb (Ctenopharyngodon idella) for example:
Gophen, M. Hydrobiologia (1990) 200: 1 - 11;
Zapletal T., Andreas, M.: Biomanipulating effect of grass carp in artificial water channels;
Rowe, D.K., Champion, P.D.: Biomanipolation of plants and fish to restore lake parkinson: a case study and its implications.
But please keep in mind that biomanipulations are very complex and that there are a lot of good examples where the final result was the opposite of the desired effect, and that the new species show unwanted interaction with other components of the ecosystem.
Thanks Daniel. I agree with you. Once we try to maintain an ecosystems as we desired, there may be some impacts. Once niche is vacant some organisms may occupy. So we have to be careful when take decissio on bio manipulation.
Biomanipulation is the deliberate alteration of an ecosystem by adding or removing species, especially predators. So yes, it can be used in plants, but is usually applied to lake ecosystems :-)
Dear RMCS Ratnayake, you might find this reference useful as well :
Atalah J., Newcombe E.M., Zaiko A. 2016. Biocontrol of fouling pests: effect of diversity, identity and density of control agents. Marine Environmental Research 115: 20-27
it is not clear if the plant control is in aquatic systems or terrestrial...
if it is in aquatic ones, the carp fish could be quite efficient, but attention, they could deplete too much the aquatic plants and some of them are relevant, as submerged macrophythes. So is important to maintain a carp predator in the environment to avoid extreme situations