Electronic Journal of Differential Equations, Vol. 2009(2009), No. 100, pp. 1-11. Title: Positive almost periodic solutions of non-autonomous delay competitive systems with weak Allee effect Authors: Yongkun Li (Yunnan Univ., Kunming, China) Kaihong Zhao (Yuxi Normal Univ., Yunnan, China) Abstract: By using Mawhin's continuation theorem of coincidence degree theory, we obtain sufficient conditions for the existence of positive almost periodic solutions for a non-autonomous delay competitive system with weak Allee effect. Submitted April 6, 2009. Published August 19, 2009. Math Subject Classifications: 34K14, 92D25. Key Words: Positive almost periodic solution; coincidence degree; delay; non-autonomous competitive systems.