Stability and feedback control for a coupled hematopoiesis nonlinear system

Abstract In this paper, we investigate the dynamics of a nonlinear differential system, a mathematical model of the coupled hematopoiesis network. The asymptotic stability of a unique positive periodic solution of the system under certain conditions is proved theoretically. Furthermore, we propose a...
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Autor*in:	Jia, Zhen [verfasserIn] Chen, Huazhou [verfasserIn] Tu, Lilan [verfasserIn] Zeng, Lang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Hematopoiesis network Asymptotic stability Feedback control

Übergeordnetes Werk:	Enthalten in: Advances in difference equations - [S.l.] : Springer International, 2004, 2018(2018), 1 vom: 29. Okt.
Übergeordnetes Werk:	volume:2018 ; year:2018 ; number:1 ; day:29 ; month:10

Links:	Volltext

DOI / URN:	10.1186/s13662-018-1838-x

Katalog-ID:	SPR032110138

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allfields	10.1186/s13662-018-1838-x doi (DE-627)SPR032110138 (SPR)s13662-018-1838-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Jia, Zhen verfasserin aut Stability and feedback control for a coupled hematopoiesis nonlinear system 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the dynamics of a nonlinear differential system, a mathematical model of the coupled hematopoiesis network. The asymptotic stability of a unique positive periodic solution of the system under certain conditions is proved theoretically. Furthermore, we propose a linear feedback control scheme to guarantee the asymptotic stability of the system when the above conditions do not hold. Finally, an example and some numerical simulations are displayed to support the obtained results. Hematopoiesis network (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Feedback control (dpeaa)DE-He213 Chen, Huazhou verfasserin aut Tu, Lilan verfasserin aut Zeng, Lang verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2018(2018), 1 vom: 29. Okt. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2018 year:2018 number:1 day:29 month:10 https://dx.doi.org/10.1186/s13662-018-1838-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2018 2018 1 29 10
spelling	10.1186/s13662-018-1838-x doi (DE-627)SPR032110138 (SPR)s13662-018-1838-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Jia, Zhen verfasserin aut Stability and feedback control for a coupled hematopoiesis nonlinear system 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the dynamics of a nonlinear differential system, a mathematical model of the coupled hematopoiesis network. The asymptotic stability of a unique positive periodic solution of the system under certain conditions is proved theoretically. Furthermore, we propose a linear feedback control scheme to guarantee the asymptotic stability of the system when the above conditions do not hold. Finally, an example and some numerical simulations are displayed to support the obtained results. Hematopoiesis network (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Feedback control (dpeaa)DE-He213 Chen, Huazhou verfasserin aut Tu, Lilan verfasserin aut Zeng, Lang verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2018(2018), 1 vom: 29. Okt. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2018 year:2018 number:1 day:29 month:10 https://dx.doi.org/10.1186/s13662-018-1838-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2018 2018 1 29 10
allfields_unstemmed	10.1186/s13662-018-1838-x doi (DE-627)SPR032110138 (SPR)s13662-018-1838-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Jia, Zhen verfasserin aut Stability and feedback control for a coupled hematopoiesis nonlinear system 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the dynamics of a nonlinear differential system, a mathematical model of the coupled hematopoiesis network. The asymptotic stability of a unique positive periodic solution of the system under certain conditions is proved theoretically. Furthermore, we propose a linear feedback control scheme to guarantee the asymptotic stability of the system when the above conditions do not hold. Finally, an example and some numerical simulations are displayed to support the obtained results. Hematopoiesis network (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Feedback control (dpeaa)DE-He213 Chen, Huazhou verfasserin aut Tu, Lilan verfasserin aut Zeng, Lang verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2018(2018), 1 vom: 29. Okt. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2018 year:2018 number:1 day:29 month:10 https://dx.doi.org/10.1186/s13662-018-1838-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2018 2018 1 29 10
allfieldsGer	10.1186/s13662-018-1838-x doi (DE-627)SPR032110138 (SPR)s13662-018-1838-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Jia, Zhen verfasserin aut Stability and feedback control for a coupled hematopoiesis nonlinear system 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the dynamics of a nonlinear differential system, a mathematical model of the coupled hematopoiesis network. The asymptotic stability of a unique positive periodic solution of the system under certain conditions is proved theoretically. Furthermore, we propose a linear feedback control scheme to guarantee the asymptotic stability of the system when the above conditions do not hold. Finally, an example and some numerical simulations are displayed to support the obtained results. Hematopoiesis network (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Feedback control (dpeaa)DE-He213 Chen, Huazhou verfasserin aut Tu, Lilan verfasserin aut Zeng, Lang verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2018(2018), 1 vom: 29. Okt. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2018 year:2018 number:1 day:29 month:10 https://dx.doi.org/10.1186/s13662-018-1838-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2018 2018 1 29 10
allfieldsSound	10.1186/s13662-018-1838-x doi (DE-627)SPR032110138 (SPR)s13662-018-1838-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Jia, Zhen verfasserin aut Stability and feedback control for a coupled hematopoiesis nonlinear system 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the dynamics of a nonlinear differential system, a mathematical model of the coupled hematopoiesis network. The asymptotic stability of a unique positive periodic solution of the system under certain conditions is proved theoretically. Furthermore, we propose a linear feedback control scheme to guarantee the asymptotic stability of the system when the above conditions do not hold. Finally, an example and some numerical simulations are displayed to support the obtained results. Hematopoiesis network (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Feedback control (dpeaa)DE-He213 Chen, Huazhou verfasserin aut Tu, Lilan verfasserin aut Zeng, Lang verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2018(2018), 1 vom: 29. Okt. (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2018 year:2018 number:1 day:29 month:10 https://dx.doi.org/10.1186/s13662-018-1838-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2018 2018 1 29 10
language	English
source	Enthalten in Advances in difference equations 2018(2018), 1 vom: 29. Okt. volume:2018 year:2018 number:1 day:29 month:10
sourceStr	Enthalten in Advances in difference equations 2018(2018), 1 vom: 29. Okt. volume:2018 year:2018 number:1 day:29 month:10
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Hematopoiesis network Asymptotic stability Feedback control
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container_title	Advances in difference equations
authorswithroles_txt_mv	Jia, Zhen @@aut@@ Chen, Huazhou @@aut@@ Tu, Lilan @@aut@@ Zeng, Lang @@aut@@
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author	Jia, Zhen
spellingShingle	Jia, Zhen ddc 510 bkl 31.49 misc Hematopoiesis network misc Asymptotic stability misc Feedback control Stability and feedback control for a coupled hematopoiesis nonlinear system
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topic_title	510 610 ASE 31.49 bkl Stability and feedback control for a coupled hematopoiesis nonlinear system Hematopoiesis network (dpeaa)DE-He213 Asymptotic stability (dpeaa)DE-He213 Feedback control (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Hematopoiesis network misc Asymptotic stability misc Feedback control
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title	Stability and feedback control for a coupled hematopoiesis nonlinear system
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title_full	Stability and feedback control for a coupled hematopoiesis nonlinear system
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author_browse	Jia, Zhen Chen, Huazhou Tu, Lilan Zeng, Lang
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title_sort	stability and feedback control for a coupled hematopoiesis nonlinear system
title_auth	Stability and feedback control for a coupled hematopoiesis nonlinear system
abstract	Abstract In this paper, we investigate the dynamics of a nonlinear differential system, a mathematical model of the coupled hematopoiesis network. The asymptotic stability of a unique positive periodic solution of the system under certain conditions is proved theoretically. Furthermore, we propose a linear feedback control scheme to guarantee the asymptotic stability of the system when the above conditions do not hold. Finally, an example and some numerical simulations are displayed to support the obtained results.
abstractGer	Abstract In this paper, we investigate the dynamics of a nonlinear differential system, a mathematical model of the coupled hematopoiesis network. The asymptotic stability of a unique positive periodic solution of the system under certain conditions is proved theoretically. Furthermore, we propose a linear feedback control scheme to guarantee the asymptotic stability of the system when the above conditions do not hold. Finally, an example and some numerical simulations are displayed to support the obtained results.
abstract_unstemmed	Abstract In this paper, we investigate the dynamics of a nonlinear differential system, a mathematical model of the coupled hematopoiesis network. The asymptotic stability of a unique positive periodic solution of the system under certain conditions is proved theoretically. Furthermore, we propose a linear feedback control scheme to guarantee the asymptotic stability of the system when the above conditions do not hold. Finally, an example and some numerical simulations are displayed to support the obtained results.
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title_short	Stability and feedback control for a coupled hematopoiesis nonlinear system
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Stability and feedback control for a coupled hematopoiesis nonlinear system

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