Puppies can be obnoxious when they play, especially if they chase the cat. Normal puppy and dog play has components of predatory behavior--but in some canines, the predatory aspect becomes dangerous.
This goes beyond simply chasing the cat or jumping up on the child. Predatory aggression toward smaller pets or kids can be very dangerous, and it's important for pet parents to understand the signs and know what to do. Here's the latest in my aggression article series on what you need to know about puppy predatory aggression.
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