Creationists, can you answer this?

If the ark really did have two/seven of every animal, why didn't the predators kill off all the small amount of plant eaters. Big cats are endothermic, so they must eat often. Lion gets hungry and eats a pig. If this pig is female, the pigs have gone extinct. Everything would die. The Bible says that animals ate meat because of the fall of man, so saying that all animals were plant eaters contradicts the Bible. Also, if you use Goddidit, that just shows how much creationism relies on this cop out, so if they don't understand anything, they just say Goddidit and hope it will go away.