Studying Attention Dynamics of a Predator in a Prey-Predator System

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Mathematical treatment of attention dynamics of a predator chasing prey is studied. In our model, prey and a predator move around a two-dimensional surface. Real numbers that correspond to individuals of prey are used. A predator selects prey of the highest number. If prey's motion is ordered, the predator selects the nearest individual. If prey's motion is disordered, the predator tends to select the individual which has split away from a collective, ie. alone. It is emphasized that partially disordered motion, is rather difficult for the predator to select an individual