> It onlu works if there are always a high rate of survivors
There doesn't have to be a high rate of survival if the reproductive rate compensates for losses.
E.g., if 80% of wild rabbits are eaten, but the remaining 20% can give birth to 5 bunnies per parent per lifetime, the population will be stable.
I have no idea where you're getting your beliefs, but most of it is wrong in both the math and biology.