The longest time I have traveled is 7 days from what I remember. When I came home, our dogs went berserk and one even wanted to bite me. They showed their anger although temporarily only. Maybe it was their way of getting back at me for leaving them for a long time. I cannot imagine how they would react if I would be away from home for a month.
When my husband went to Singapore for a week of seminar, the reaction of our dogs was not the same as when I came home. There was frenzy, all right, but there was no threat of biting. And in fact, the smallest dog was nibbling the hand of my husband obviously due to delight.