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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. © 2016, Korean Society for Computational and Applied Mathematics.

Registro:

Documento: Artículo
Título:Existence and multiplicity of periodic solutions for a generalized hematopoiesis model
Autor:Amster, P.; Balderrama, R.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires & IMAS-CONICET, Buenos Aires, Argentina
Palabras clave: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
Año:2017
Volumen:55
Número:1-2
Página de inicio:591
Página de fin:607
DOI: http://dx.doi.org/10.1007/s12190-016-1051-6
Título revista:Journal of Applied Mathematics and Computing
Título revista abreviado:J. Appl. Math. Comp.
ISSN:15985865
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15985865_v55_n1-2_p591_Amster

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Citas:

---------- APA ----------
Amster, P. & Balderrama, R. (2017) . Existence and multiplicity of periodic solutions for a generalized hematopoiesis model. Journal of Applied Mathematics and Computing, 55(1-2), 591-607.
http://dx.doi.org/10.1007/s12190-016-1051-6
---------- CHICAGO ----------
Amster, P., Balderrama, R. "Existence and multiplicity of periodic solutions for a generalized hematopoiesis model" . Journal of Applied Mathematics and Computing 55, no. 1-2 (2017) : 591-607.
http://dx.doi.org/10.1007/s12190-016-1051-6
---------- MLA ----------
Amster, P., Balderrama, R. "Existence and multiplicity of periodic solutions for a generalized hematopoiesis model" . Journal of Applied Mathematics and Computing, vol. 55, no. 1-2, 2017, pp. 591-607.
http://dx.doi.org/10.1007/s12190-016-1051-6
---------- VANCOUVER ----------
Amster, P., Balderrama, R. Existence and multiplicity of periodic solutions for a generalized hematopoiesis model. J. Appl. Math. Comp. 2017;55(1-2):591-607.
http://dx.doi.org/10.1007/s12190-016-1051-6