I'm no expert but I would think he might be trying to play with them not necessarily taking his stress out on them. I would think he is whining after your wife leaves because his playmate has left the room, he sees the other humans and he thinks maybe they will play with me. After all, biting you is their way of trying to get you to play with them.
Nevertheless, when they bite it hurts. Have you tried bully sticks? How much exersize is he getting and is there any chance you can increase it? Also have the kids sit with a bunch of toys next to them so they can redirect this behavior.
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