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Abstract:

A generalized non-linear nonautonomous model for the haematopoiesis (cell production) with several delays and an oscillating circulation loss rate is studied. We prove a fixed point theorem in abstract cones, from which different results on existence and uniqueness of positive almost periodic solutions are deduced. Moreover, some criteria are given to guarantee that the obtained positive almost periodic solution is globally exponentially stable. Copyright © 2018 John Wiley & Sons, Ltd.

Registro:

Documento: Artículo
Título:On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate
Autor:Amster, P.; Balderrama, R.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IMAS-CONICET, Argentina
Palabras clave:existence and uniqueness of almost periodic solutions; fixed point theorems; global exponential stability; haematopoiesis; non-linear nonautonomous delay differential equations; Differential equations; Fixed point arithmetic; Functional analysis; Topology; Almost periodic solutions; Fixed point theorems; Global exponential stability; Haematopoiesis; Nonautonomous; Blood
Año:2018
Volumen:41
Número:10
Página de inicio:3976
Página de fin:3997
DOI: http://dx.doi.org/10.1002/mma.4880
Título revista:Mathematical Methods in the Applied Sciences
Título revista abreviado:Math Methods Appl Sci
ISSN:01704214
CODEN:MMSCD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01704214_v41_n10_p3976_Amster

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Citas:

---------- APA ----------
Amster, P. & Balderrama, R. (2018) . On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate. Mathematical Methods in the Applied Sciences, 41(10), 3976-3997.
http://dx.doi.org/10.1002/mma.4880
---------- CHICAGO ----------
Amster, P., Balderrama, R. "On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate" . Mathematical Methods in the Applied Sciences 41, no. 10 (2018) : 3976-3997.
http://dx.doi.org/10.1002/mma.4880
---------- MLA ----------
Amster, P., Balderrama, R. "On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate" . Mathematical Methods in the Applied Sciences, vol. 41, no. 10, 2018, pp. 3976-3997.
http://dx.doi.org/10.1002/mma.4880
---------- VANCOUVER ----------
Amster, P., Balderrama, R. On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate. Math Methods Appl Sci. 2018;41(10):3976-3997.
http://dx.doi.org/10.1002/mma.4880