Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 126, pp. 1-6. Title: Uniqueness of positive solutions for an elliptic system Authors: Wenshu Zhou (Dalian Nationalities Univ., Dalian, China) Xiaodan Wei (Dalian Nationalities Univ., Dalian, China) Abstract: We prove the uniqueness of positive solutions for an elliptic system that appears in the study of solutions for a degenerate predator-prey model in the strong-predator case. Submitted April 19, 2011. Published September 29, 2011. Math Subject Classifications: 35J57, 92D25. Key Words: Predator-prey model; strong-predator; positive solution; uniqueness.