English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A general nonautonomous Nicholson equation with multiple pairs of delays in{\it mixed monotone} nonlinear terms is studied. Sufficient conditions forpermanence are given, with explicit lower and upper uniform bounds for allpositive solutions. Imposing an additional condition on the size of some of thedelays, and by using an adequate difference equation of the form$x_{n+1}=h(x_n)$, we show that all positive solutions are globally attractive.In the case of a periodic equation, a criterion for existence of a globallyattractive positive solution is provided. The results here constitute asignificant improvement of recent literature, in view of the generality of theequation under study and of sharper criteria obtained for situations covered inrecent works. Several examples illustrate the results.

Asymptotic behaviour of general nonautonomous Nicholson equations with mixed monotonicities