for the record, bobcats do not necissarily fall into the category of diurnal, nocturnal, OR crepuscular. They will feed whenever their prey is most readily available, so their hunting patterns can change seasonally. They are also cash predators. This means they take their kill with them, and hide what they don't eat for later. That being said, bobcats generally don't like prey as big as a chicken...they are too much work. Bunnies and squirrels (their all time favorite) are more their speed. Small, quite (ever heard a chicken in distress? They are loud, flapping, screaming wirlwinds of "pay attention to me!" the exact thing a bobcat doesn't want...their prey drawing attention to them), clean, and easy to efficiently carry off and eat in one sitting.
Since this is happening at dusk, I would guess bird of prey (owl), or fox. One way to know for sure, like others have already said, is sit out and watch the activity around that time. What you see may supprise you. Another thing would be to get a game camera set up so that you can learn what predator you are dealing with, and from there find the best solution to the problem.
Unfortunately, merciless predators come with the territory when raising a bottom of the rung prey animal. Especially once they have discovered where there is an easy meal to be had.
Since this is happening at dusk, I would guess bird of prey (owl), or fox. One way to know for sure, like others have already said, is sit out and watch the activity around that time. What you see may supprise you. Another thing would be to get a game camera set up so that you can learn what predator you are dealing with, and from there find the best solution to the problem.
Unfortunately, merciless predators come with the territory when raising a bottom of the rung prey animal. Especially once they have discovered where there is an easy meal to be had.