Case in point being the zebra mussels that infested lakes Erie and St. Clair several decades ago. After their initial explosion, the population dropped down and leveled off and are now in actual decline, and it was found that they became another food source for bass and pan fish such as perch. The Lake St. Clair water clarity also improved...........
Uh...
They are in KY Lake in tremendous numbers. Apparently, they grow so big, so fast, that predators have a hard time keeping up. Not too many predators in US fresh waters are going to munch on 50 lb. or larger carp.* Gators in the South, maybe, as has been pictured... :-)
*Typically, what happens is that if many medium size fish are removed, the remainder grow spectacularly. This is the basis of many fresh water “trophy” fisheries, once the desired trophy fish species is well established. “Slot limits” are sometimes employed.