@medicchristy: All very interesting, but the question was "how do the brains differ between animals and humans" and not "what is the difference between animals and humans". Not all humans worship higher powers.
Animals certainly do destroy their natural surroundings, and their growth and spread is limited by the availability of food. The grasslands of Africa are created by elephants knocking over trees.
Many animals relate to third parties, dogs and cats for instance, especially when food is offered. Humans definitely have a survival instinct too; very few want to die and most will get out of the way of harm where possible. Try holding your hand to a flame, and see how long it takes for your survival instinct to move your hand out of the flame.
A bit less philosophy and a bit more fact and answering the question that was asked would have been much more interesting.