By having no other choice, really, I guess. Havent seen/heard of any interactions between the two.
We get a little bit of everything out here -from Gator to Bear/Boar/Coyote/bobcat, plus all the usual critters. We're on the very edge of rural/suburban terrain. Go east/south a few hundred meters, everything is rural/marsh/swamp and farmlands. Go a couple hundred meters east/north and it's becomming sub-divisions, super-malls, condos, etc. Between recent land-developments, and forrest-fires over the last yr. or so, all the wildlife is being pushed out into the remaining rural areas, and sometimes into the new suburban areas.
The bear encounters are few, and rare- but they are becomming more common than anyone is crazy about. I average seeing one about once every 2-3 months or so. Boar, a bit more often than that.Coyote I will see./hear maybe once in 6 months.