Asymptotically almost periodicity of delayed Nicholson-type system involving patch structure

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.

Keywords

• nicholson-type system
• global attractivity
• patch structure
• asymptotically almost periodic solution