AAM  >> Vol. 5 No. 3 (August 2016)

    Bifurcation of Periodic Solution of a Hematopological System and Feedback Control

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造血系统周期解倍周期分叉时滞Hematological Cell Model Periodic Solution Periodic Doubling Bifurcation Delay



The oscillating phenomenon of a hematological cell model is investigated. Based on effective G-SCF administration, the mathematical blood cell model is described as DDEs with multi-delays. Com-monly, in blood cell models, the intrinsic mechanism is composed of triggering differentiating mechanism and maturation mechanism, and hematoplogical cell model differentiating into three types of necessary blood cells in the body. By applying numerical software DDE-Biftool, the bifur-cation of periodic solutions with long period are derived, and the period doubling bifurcation of periodic solutions is found at critical values. Chaotic solutions also appear afterwards period- doubling bifurcation, and the stabilization of dynamical chaos to the expected periodic solution is finished successfully by applying Pyragas feedback control method.

马苏奇. 造血系统中的周期解分岔及反馈控制[J]. 应用数学进展, 2016, 5(3): 487-493. http://dx.doi.org/10.12677/AAM.2016.53059


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