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It is known that if Lotka-Volterra operators, defined on the simplex Sm−1, satisfy f-monotonicity condition, then they are bijection of Sm−1. In the present paper, we consider a class of Lotka-Volterra operators defined on two dimensional simplex which are bijective, however, they are not f-monotone.Bijectivity of a Class of Lotka-Volterra Oper