On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate
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 soluti...
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2018
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01704214_v41_n10_p3976_Amster http://hdl.handle.net/20.500.12110/paper_01704214_v41_n10_p3976_Amster |
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paper:paper_01704214_v41_n10_p3976_Amster2023-06-08T15:18:37Z On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate 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 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. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01704214_v41_n10_p3976_Amster http://hdl.handle.net/20.500.12110/paper_01704214_v41_n10_p3976_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 |
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 |
| spellingShingle |
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 On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate |
| topic_facet |
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 |
| description |
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. |
| title |
On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate |
| title_short |
On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate |
| title_full |
On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate |
| title_fullStr |
On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate |
| title_full_unstemmed |
On the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate |
| title_sort |
on the global dynamic behaviour for a generalized haematopoiesis model with almost periodic coefficients and oscillating circulation loss rate |
| publishDate |
2018 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01704214_v41_n10_p3976_Amster http://hdl.handle.net/20.500.12110/paper_01704214_v41_n10_p3976_Amster |
| _version_ |
1768542593248919552 |