As the title states, the goats in the game currently only die if eaten. I had a carnivore exhibit which I converted to a herbivore one but did not remove the live feeder until almost finished with the rest of the exhibit and by the time I was ready to remove it there were some were around 12 goats running along the side of the fence. At the moment the only way to get rid of them is to make more carnivores to eat them. A simple fix would to be add a lifespan to the goats so they eventually die 
