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Double Hopf Bifurcation of a Hematopoietic System with State Feedback Control

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  • Suqi Ma

Abstract

The dynamics of a system composed of hematopoietic stem cells and its relationship with neutrophils is ubiquitous due to periodic oscillating behavior induce cyclical neutropenia. Underlying the methodology of state feedback control with two time delays, double Hopf bifurcation occurs as varying time delay to reach its threshold value. By applying center manifold theory, the analytical analysis of system exposed the different dynamical feature in the classified regimes near double Hopf point. The novel dynamics as periodical solution and quasi-periodical attractor coexistence phenomena are explored and verified by numerical simulation.

Suggested Citation

  • Suqi Ma, 2018. "Double Hopf Bifurcation of a Hematopoietic System with State Feedback Control," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(4), pages 116-127, August.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:4:p:116
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    More about this item

    Keywords

    Double Hopf bifurcation; cyclical neutropenia; time delay;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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