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dc.contributor.author
Amster, Pablo Gustavo
dc.contributor.author
Balderrama, Rocio Celeste
dc.date.available
2018-08-15T11:18:23Z
dc.date.issued
2017-10
dc.identifier.citation
Amster, Pablo Gustavo; Balderrama, Rocio Celeste; Existence and multiplicity of periodic solutions for a generalized hematopoiesis model; Springer Verlag Berlín; Journal of Applied Mathematics and Computing; 55; 1-2; 10-2017; 591-607
dc.identifier.issn
1598-5865
dc.identifier.uri
http://hdl.handle.net/11336/55575
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer Verlag Berlín
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Degree Theory
dc.subject
Global Attractor
dc.subject
Hematopoiesis
dc.subject
Multiplicity
dc.subject
Nonlinear Nonautonomous Delay Differential Equations
dc.subject
Positive Periodic Solutions
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
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Otras Ciencias Biológicas
dc.subject.classification
Ciencias Biológicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-14T14:13:17Z
dc.journal.volume
55
dc.journal.number
1-2
dc.journal.pagination
591-607
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
dc.description.fil
Fil: Balderrama, Rocio Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
dc.journal.title
Journal of Applied Mathematics and Computing
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs12190-016-1051-6
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s12190-016-1051-6
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