Electronic Journal of Differential Equations, Vol. 2009(2009), No. 157, pp. 1-12. Title: Dynamics of a non-autonomous three-dimensional population system Authors: Ta Hong Quang (Xuan Hoa Teacher Training Univ., Vietnam) Ta Viet Ton (Osaka Univ., Japan) Nguyen Thi Hoai Linh (Vietnam Publishing House, Vietnam) Abstract: In this paper, we study a non-autonomous Lotka-Volterra model with two predators and one prey. The explorations involve the persistence, extinction and global asymptotic stability of a positive solution. Submitted August 28, 2009. Published December 01, 2009. Math Subject Classifications: 34C27, 34D05. Key Words: Predator-prey model; survival; extinction; persistence; asymptotic stability; Liapunov function.