http://www.petplace.com/article/small-mammals/general/when-y...
Rabbits are somewhat infamous for eating their young.
I'm not sure there is any research about it, but it could be a resource preserving behavior.
Nevertheless, cannibalism can be a real risk for some species and adaptations to prevent it are useful, especially in the case of mammals.
Rather, they mean "Could this be the way that the species' internal biological and evolutionary processes are involved in preventing cannibalism?" Personally, I think "nature's way" is a highly preferable and convenient shorthand. :)
Specie A (with this disease) stop cannibalizing after seeing the outcome, better chance of survival.
Specie B (without this disease) eat themselves to the last person... Lower chance of survival as a specie.
Nature "cares" by generating lots of options, then let the fittest to survive. So while nature doesn't intend or plan for a specie to survive, the outcome is no different from if it did. I believe the OP means "care" in this sense.
That seems unlikely. A bigger risk would be a carnivorous species exterminating its prey species.