BIBLIOS

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

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

Participantes na publicação
Henrique C Prates (Author)
Dep. Matemática
Teresa Faria (Author)
Dep. Matemática
CMAFcIO

Resumo
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.


Instituição
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Suporte
Nonlinearity

Identificadores da Publicação
ISSN - 0951-7715

Editora
IOP Publishing

Coleção
Nonlinearity



Identificadores do Documento
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

Identificadores de Qualidade
SCIMAGO Q1 (2021) - Mathematics - Analysis