Existence and multiplicity of periodic solutions for a generalized hematopoiesis model

A generalization of the nonautonomous Mackey–Glass equation for the regulation of the hematopoiesis with several non-constant delays is studied. Using topological degree methods we prove, under appropriate conditions, the existence of multiple positive periodic solutions. Moreover, we show that the...

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Detalles Bibliográficos
Autores principales:	Amster, Pablo Gustavo, Balderrama, Rocio Celeste
Publicado:	2017
Materias:	Degree theory Global attractor Hematopoiesis Multiplicity Nonlinear nonautonomous delay differential equations Positive periodic solutions Blood Differential equations Nonlinear equations Topology Positive periodic solution Problem solving
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15985865_v55_n1-2_p591_Amster http://hdl.handle.net/20.500.12110/paper_15985865_v55_n1-2_p591_Amster
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_15985865_v55_n1-2_p591_Amster
record_format	dspace
spelling	paper:paper_15985865_v55_n1-2_p591_Amster2023-06-08T16:24:56Z Existence and multiplicity of periodic solutions for a generalized hematopoiesis model Amster, Pablo Gustavo Balderrama, Rocio Celeste Degree theory Global attractor Hematopoiesis Multiplicity Nonlinear nonautonomous delay differential equations Positive periodic solutions Blood Differential equations Nonlinear equations Topology Degree theory Global attractor Hematopoiesis Multiplicity Nonlinear nonautonomous delay differential equations Positive periodic solution Problem solving A generalization of the nonautonomous Mackey–Glass equation for the regulation of the hematopoiesis with several non-constant delays is studied. Using topological degree methods we prove, under appropriate conditions, the existence of multiple positive periodic solutions. Moreover, we show that the conditions are necessary, in the sense that if some sort of complementary conditions are assumed then the trivial equilibrium is a global attractor for the positive solutions and hence periodic solutions do not exist. © 2016, Korean Society for Computational and Applied Mathematics. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Balderrama, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15985865_v55_n1-2_p591_Amster http://hdl.handle.net/20.500.12110/paper_15985865_v55_n1-2_p591_Amster
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Degree theory Global attractor Hematopoiesis Multiplicity Nonlinear nonautonomous delay differential equations Positive periodic solutions Blood Differential equations Nonlinear equations Topology Degree theory Global attractor Hematopoiesis Multiplicity Nonlinear nonautonomous delay differential equations Positive periodic solution Problem solving
spellingShingle	Degree theory Global attractor Hematopoiesis Multiplicity Nonlinear nonautonomous delay differential equations Positive periodic solutions Blood Differential equations Nonlinear equations Topology Degree theory Global attractor Hematopoiesis Multiplicity Nonlinear nonautonomous delay differential equations Positive periodic solution Problem solving Amster, Pablo Gustavo Balderrama, Rocio Celeste Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
topic_facet	Degree theory Global attractor Hematopoiesis Multiplicity Nonlinear nonautonomous delay differential equations Positive periodic solutions Blood Differential equations Nonlinear equations Topology Degree theory Global attractor Hematopoiesis Multiplicity Nonlinear nonautonomous delay differential equations Positive periodic solution Problem solving
description	A generalization of the nonautonomous Mackey–Glass equation for the regulation of the hematopoiesis with several non-constant delays is studied. Using topological degree methods we prove, under appropriate conditions, the existence of multiple positive periodic solutions. Moreover, we show that the conditions are necessary, in the sense that if some sort of complementary conditions are assumed then the trivial equilibrium is a global attractor for the positive solutions and hence periodic solutions do not exist. © 2016, Korean Society for Computational and Applied Mathematics.
author	Amster, Pablo Gustavo Balderrama, Rocio Celeste
author_facet	Amster, Pablo Gustavo Balderrama, Rocio Celeste
author_sort	Amster, Pablo Gustavo
title	Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
title_short	Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
title_full	Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
title_fullStr	Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
title_full_unstemmed	Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
title_sort	existence and multiplicity of periodic solutions for a generalized hematopoiesis model
publishDate	2017
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15985865_v55_n1-2_p591_Amster http://hdl.handle.net/20.500.12110/paper_15985865_v55_n1-2_p591_Amster
work_keys_str_mv	AT amsterpablogustavo existenceandmultiplicityofperiodicsolutionsforageneralizedhematopoiesismodel AT balderramarocioceleste existenceandmultiplicityofperiodicsolutionsforageneralizedhematopoiesismodel
_version_	1768544101738741760

Existence and multiplicity of periodic solutions for a generalized hematopoiesis model

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