Dynamics analysis of delayed Nicholson-type systems involving patch structure and asymptotically almost periodic environments

ABSTRACT This paper deals with a class of delayed Nicholson-type systems involving patch structure. First, we prove that the solution of the initial value problem with respect to the addressed system exists globally and is bounded. Second, we employ the contraction fixed point theorem and analytical techniques to establish the existence of a positive asymptotically almost periodic solution and its global attractivity. Finally, an example is arranged to illustrate the effectiveness and feasibility of the obtained results.