Just because it's mating season, doesn't mean that coyotes don't eat. There daily routine doesn't change that much just because he needs to mount the old lady. The window to breed a dog in heat isn't that wide and since they only have one partner they're not getting it done all day every day.
They still get hungry and rabbit's still scream in February just like they did in October, well at least the ones inside my FX5 do anyway. And that doesn't even take into account the much higher percentage of coyotes that don't even breed.