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

In this communication, we prove some important limits of the principaleigenvalue for nonlocal operator of Neumann type with respect to theparameters, which are significant in the understanding of dynamics ofbiological populations. We obtained a complete picture about limits of theprincipal eigenvalue in term of the large and small dispersal rate anddispersal range classified by "Ecological Stable Strategy" of persistence. Thissolves some open problems remainning in the series of work [3, 28, 29], inwhich we have to overcome the new difficulties comparing to [3, 28, 29] sinceprincipal eigenvalue of nonlocal Neumann operator is not monotone with respectto the domain. The maximum principle for this type of operator is also achievedin this paper.

Principal Spectral Theory of time-periodic nonlocal dispersal operators of Neumann type