BIBLIOS

Document type
Journal articles

Document subtype
Full paper

Title
Global attractivity for a nonautonomous Nicholson’s equation with mixed monotonicities

Participants in the publication
Henrique C Prates (Author)
Dep. Matemática
Teresa Faria (Author)
Dep. Matemática
CMAFcIO

Summary
We consider a Nicholson’s equation with multiple pairs of time-varying delays and nonlinear terms given by mixed monotone functions. Sufficient conditions for the permanence, local stability and global attractivity of its positive equilib- rium K are established. The main novelty here is the construction of a suitable auxiliary difference equation $x_{n+1} = h(x_n)$ with h having negative Schwarzian derivative, and its application to derive the attractivity of K for a model with one or more pairs of time-dependent delays. Our criteria depend on the size of some delays, improve results in recent literature and provide answers to open problems.


Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Nonlinearity

Publication Identifiers
ISSN - 0951-7715

Publisher
IOP Publishing

Collection
Nonlinearity



Document Identifiers
DOI - https://doi.org/10.1088/1361-6544/ac3c2a
URL - http://dx.doi.org/10.1088/1361-6544/ac3c2a
DOI - https://doi.org/10.1088/1361-6544/ac3c2a

Rankings
SCIMAGO Q1 (2021) - Mathematics - Analysis