Cats are not ideal - they destroy native wildlife, and carry disease. Preferable (natives) would be snakes and raptors. But the problem in any of those cases

Cats are not ideal - they destroy native wildlife, and carry disease. Preferable (natives) would be snakes and raptors. But the problem in any of those cases are the rate of population change. As per TFA, mice are fertile at 6 weeks old. What they don't mention is that their gestation period is 3 weeks, females give birth to up to a dozen pups, and can mate immediately after birth. So in perfectly suited environments like we have here in Australia now, you're looking at a potential order of magnitude growth every 3-4 weeks. Cats, snakes, raptors, etc have a near-flat population growth, regardless of the amount of additional food around for them.