Which types of aggression are there?

Mobilization of aggression in the corresponding brain areas occurs in the service of life, in response to threats to the survival of the individual or of the species; that is to say, phylogenetically programmed aggression, as it exists in animals and man, is a biologically adaptive, defensive reaction.

Not only does predatory behavior have its own neurophysiological substance, distinct from that for defensive aggression, but the behavior itself is different. It does not show rage and is not interchangeable with fight behavior, but it is purpose-determined, accurately aimed, and the tension ends with the accomplishment of the goal - the attainment of food. The predatory instinct is not one of defense, common to all animals, but of food-finding, common to certain animal species that are morphologically equipped for this task. Of course, predatory behaviour is aggressive, but it must be added that this aggression is different from rage-connected aggression provoked by a thread. It is close to what is sometimes called "instrumental" aggression, i.e., aggression in the service of attaining a desired goal. Non predatory animals lack this kind of aggression.

--Erich Fromm