Eh, ecosystems adapt. Most "invasive" species made their way to new lands on their own. The problem is when humans consciously introduce a new species with a purpose, knowing that it dominates against something the idiot human doesn't like.

There are only really a few big rules to keep things going. Don't get rid of the sole predator for a populous prey animal. Don't introduce prey animals to an environment that reproduce faster than they can be eaten. Don't plant clones, diversify genetics within a species(looking at you, orchards and tree farms).