2018
DOI: 10.1186/s13662-018-1838-x
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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 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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“…Complex network science has interfused with many other scientific areas and has wider and wider real-world applications [1][2][3][4][5][6] . Plenty of real-world systems can be described or modeled by complex networks.…”
Section: Introductionmentioning
confidence: 99%
“…Complex network science has interfused with many other scientific areas and has wider and wider real-world applications [1][2][3][4][5][6] . Plenty of real-world systems can be described or modeled by complex networks.…”
Section: Introductionmentioning
confidence: 99%