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In this paper, we propose a discrete Nicholson’s blowflies model with feedback control. Sufficient conditions are obtained for the permanence. By means of an almost periodic functional hull theory, we show that the almost periodic system has a uniqueness of globally attractive almost periodic solution. Moreover, a suitable example and its numerical simulation are given to illustrate the feasibility of the main results.

Almost periodic solution of a discrete Nicholson’s blowflies model with delay and feedback control