This is a natural instinct that your dog was born with often referred to as the “predator prey drive”. When they see a small animal running they want to chase the animal. As with all dogs innate drives, some dogs have a higher “prey” drive than others. This means that while some dogs will fetch a stick and bring it back to you, others will chase anything that moves. Commonly dogs with predatory aggression chase other dogs when they run, small children with they run, sometimes even people on bicycles or even cars that are passing by.
When a dog displays symptoms of predatory aggression such as ignoring all commands when they are in the middle of a chase, it is important to have the ability to regain control of your dog. This can be accomplished with a behavior modification program. It is important to find a behavioral trainer that is experienced in dealing with predatory aggression. Typically speaking an obedience trainer will not have the knowledge or resources to manage this type of aggression.