What secies reproduce rapidly in a new habitat due to lack of parasites and predators that would control the population

Hi there!

Most native species that evolved with their habitat also have an array of natural predators and parasites to keep the population in check. The exception to this is invasive species. Such species are usually introduced into a habitat artificially and lack the natural predators and parasites present in their original home. 

Therefore, the type of species that normally reproduces quickly with little to no predators to control the population are invasive species.