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.

中文翻译：

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涉及斑块结构和渐近几乎周期性环境的延迟尼科尔森型​​系统的动力学分析

摘要

本文处理了一类涉及补丁结构的延迟尼科尔森型​​系统。首先，我们证明了关于所寻址系统的初始值问题的解决方案是全局存在的并且是有界的。其次，我们采用收缩不动点定理和分析技术来确定正渐近几乎周期解的存在性及其全局吸引力。最后通过实例说明所得结果的有效性和可行性。