We take into account nonlinear density-dependent mortality term and patch structure to deal with the global convergence dynamics of almost periodic delay Nicholson's blowflies system in this paper. To begin with, we prove that the solutions of the addressed system exist globally and are bounded above. What's more, by the methods of Lyapunov function and analytical techniques, we establish new criteria to check the existence and global attractivity of the positive asymptotically almost periodic solution. In the end, we arrange an example to illustrate the effectiveness and feasibility of the obtained results.
Keywords: 34C25; 34K13; Nicholson's blowflies system; almost periodic solution; density-dependent mortality term; global attractivity; patch structure.