Rabbit burns

we've got a 3/4 acre lawn and unfortunately, lots of rabbits.  What is the best strategy to minimize the damage (is it their pee or poop or both doing the damage)?  The rabbits keep going in one spot until there is no grass left, just dirt.  Even after re-sodding, they come back to the same spot!  Help please!

I think you need a dog.  With the right kind of dog, you won't need to buy much dogfood.