North America hosts a number of species and subspecies of Cottontail Rabbits. Around here, we have the Eastern Cottontail. (There is also one named the New England Cottontail, but I could not tell the difference.)
They are most abundant here in the later summer and fall, but their numbers nosedive during the winter mostly due to predation by owls, hawks, coyotes, and Red Fox. The cottontails' position on the food chain leads to an annual survival rate of around 20%.
When we see one hop out of its nesting "form" when mowing, we mow around it.
Here's a list of the rabbits and hares of North America