Electronic Journal of Differential Equations, Vol. 2020 (2020), No. 61, pp. 1-17. Title: Asymptotically almost periodicity of delayed Nicholson-type system involving patch structure Authors: Chuangxia Huang (Changsha Univ.of Science and Tech., Hunan, China) Jiafu Wang (Changsha Univ.of Science and Tech., Hunan, China) Lihong Huang (Changsha Univ.of Science and Tech., Hunan, China) Abstract: In this article we study a delayed Nicholson-type system involving patch structure. We apply differential inequality techniques to establish a sufficient condition for the existence of positive asymptotically almost periodic solutions. By constructing suitable Lyapunov functions, we obtain a new criterion for the uniqueness and global attractivity of the asymptotically almost periodic solutions. Submitted July 19, 2019. Published June 16, 2020. Math Subject Classifications: 34C25, 34K13, 34K25. Key Words: Nicholson-type system; global attractivity; patch structure; asymptotically almost periodic solution.