论文标题
非自主延迟系统的指数订购，该系统带有隔室Nycholson系统的应用
The exponential ordering for non-autonomous delay systems with applications to compartmental Nycholson systems
论文作者
论文摘要
指数排序是在非Auto \ -no \ - mous延迟系统的上下文中利用的，在限制性较小的条件下诱导单调偏斜产品半速度。与指数顺序相关的一些与该顺序相关的动力概念，例如半准子，这对确定统一持久性或全球吸引子的存在的影响有影响。同样，对于单调和sublinear延迟系统，为此有序获得了一些有关长期动态和吸引力的重要结论。然后将结果应用于几乎是周期性的尼科尔森系统，并为存在一个新的条件，以渐近地吸引所有其他阳性解决方案，以存在独特的几乎周期性的积极解决方案。
The exponential ordering is exploited in the context of non-auto\-no\-mous delay systems, inducing monotone skew-product semiflows under less restrictive conditions than usual. Some dynamical concepts linked to the order, such as semiequilibria, are considered for the exponential ordering, with implications for the determination of the presence of uniform persistence or the existence of global attractors. Also, some important conclusions on the long-term dynamics and attraction are obtained for monotone and sublinear delay systems for this ordering. The results are then applied to almost periodic Nicholson systems and new conditions are given for the existence of a unique almost periodic positive solution which asymptotically attracts every other positive solution.
