The exponential ordering for nonautonomous delay systems with applications to compartmental Nicholson systems

The exponential ordering is exploited in the context of nonautonomous delay systems, inducing monotone skew-product semiflows under less restrictive conditions than usual. Some dynamical concepts linked to order, such as semiequilibria, are considered for ordering, with implications determination presence uniform persistence or existence global attractors. Also, some important conclusions on long-term dynamics and attraction obtained sublinear systems this ordering. results then applied almost periodic Nicholson new given a unique positive solution which asymptotically attracts every other solution.