Good idea, Mod Claycomb!
Here on Island we have issues with 4 invasive species.
1: Green Iguana.
The Old Woman's Tale says they were brought to Island on a boat with fishermen from Honduras. They had them trussed up ( alive) aboard as food, but when they breached Caymanian waters, our Customs took them (fishermen), the boat and the hidden, trussed up Iguanas to land. Discovered the Iguanas, and let them loose.
They are now all over the Island, numbering around 2 million, doing hellish damage to trees, bushes, gardens. Eat anything green. All flowers, specially Hibiscus. Crap in pools, on cars, everywhere.
Culling does not work. I kill them in my garden, with a (legal) airgun.
No solution in sight.
2: Rats
Not a big problem yet. Most houses have traps with poison.
Our dump called is Mount Trashmore - tallest ‘almost natural’ feature on Grand Cayman - is a perfect breeding ground. Lots of food, and lots of eine cirks fir the rat babies to play with!
Most houses have traps or poison traps.
They eat my bananas - I am fine with that. Then they eat the electricals in my outdoor AC units - I am not fine with that.
So we poison them.
3: Agouti aka Cayman Rabbit.
Been here over a Century. Implanted as food. Not heard of any excess damage to the environment.
Fun to hunt, you bait an area with apples, sit very quietly and shoot them.
4: Lionfish. Like all good things on this world, we got it from the US, where they were kept in aqvariums. Got released from an aquarium in Florida. Spreads like bushfire, eating all small fish it can. Devastates reef eco systems.
Here, the diving industry have done an amazing job culling them. Restaurants serve them.
Good eating. We are the most successful island on Lionfish control.