Corpses Are Still People; Cats And Dogs Are Not

The title states that people who have deceased are still considered people, and cats and dogs are never considered people. As nothing happens that would remove a person, the collective number of people remains $\boxed{2056}$

I'd disagree with the premise, but if the premise is accepted, dying doesn't remove a 'person' from consideration. So unless some of the people transmogrified into cats or dogs, the number of people after the battle is the same as the number before.

There were $2056$ people and a total of $42$ people, $7$ dogs and $7$ cats died. But the question asks for how many people are there now. And since nothing has been moved, the corpses are still there. Corpses are people, they are just dead. So $2056$ people are there now; not counting the cats and dogs because we were not supposed to count them.