A predator's selection of an individual prey from a group

This paper examines the mechanisms by which a predator selects an individual target from a group of prey. In a predatory situation, both the group of prey and the predator move around in a two-dimensional space. The predator has to select one individual among these prey to catch. For the mathematical treatment of such a selection, this paper introduces priority functions. Three different priority functions, labeled Strategies N, P and S, are then defined to indicate selection of the Nearest victim, the Peripheral victim or the Split victim (an individual separated from the group), respectively. It is found that, from the predator's standpoint, Strategy P is the best of the three regardless of how the prey group moves in reaction to an attack. Such reaction motions are classified into three types: ordered, partially disordered and fully disordered motion. Of the three types of motion, partially disordered motion is the most difficult type, as it confuses the predator in selecting and tracking a target individual.