On a solution of the probabilistic predator–prey model approached by the fixed point methods.

In this paper, we are dealing with a particular type of predator–prey model in which a predator has two choices of preys with probabilities x and 1 - x , respectively. Our aims are to analyze the behavior of predator animals in such situation and to construct a general functional equation for it, which covers all the aspects of such type of relationship. The Banach fixed point theorem is being used to investigate the existence and uniqueness results of the proposed predator–prey model; Hyers–Ulam and Hyers–Ulam–Rassias type stability of the functional equation has also been discussed in it. [ABSTRACT FROM AUTHOR]