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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1838-x |
| _version_ | 1811196509422616576 |
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| author | Zhen Jia Huazhou Chen Lilan Tu Lang Zeng |
| author_facet | Zhen Jia Huazhou Chen Lilan Tu Lang Zeng |
| author_sort | Zhen Jia |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T00:58:59Z |
| format | Article |
| id | doaj.art-4fc3e125d6d4472dbda3ee845398c03e |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-04-12T00:58:59Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-4fc3e125d6d4472dbda3ee845398c03e2022-12-22T03:54:31ZengSpringerOpenAdvances in Difference Equations1687-18472018-10-012018111210.1186/s13662-018-1838-xStability and feedback control for a coupled hematopoiesis nonlinear systemZhen Jia0Huazhou Chen1Lilan Tu2Lang Zeng3College of Science, Guilin University of TechnologyCollege of Science, Guilin University of TechnologyDepartment of Mathematics, Wuhan University of Science and TechnologyCollege of Science, Guilin University of TechnologyAbstract 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.http://link.springer.com/article/10.1186/s13662-018-1838-xHematopoiesis networkAsymptotic stabilityFeedback control |
| spellingShingle | Zhen Jia Huazhou Chen Lilan Tu Lang Zeng Stability and feedback control for a coupled hematopoiesis nonlinear system Advances in Difference Equations Hematopoiesis network Asymptotic stability Feedback control |
| title | Stability and feedback control for a coupled hematopoiesis nonlinear system |
| title_full | Stability and feedback control for a coupled hematopoiesis nonlinear system |
| title_fullStr | Stability and feedback control for a coupled hematopoiesis nonlinear system |
| title_full_unstemmed | Stability and feedback control for a coupled hematopoiesis nonlinear system |
| title_short | Stability and feedback control for a coupled hematopoiesis nonlinear system |
| title_sort | stability and feedback control for a coupled hematopoiesis nonlinear system |
| topic | Hematopoiesis network Asymptotic stability Feedback control |
| url | http://link.springer.com/article/10.1186/s13662-018-1838-x |
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