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Global stability and Hopf bifurcation of a three-component model for cell production systems

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  • Yang, Bowen
  • Liu, Ping

Abstract

The dynamics of a three-component model for hierarchical cell production systems regulated by the level of mature cells is considered. Our model is based on a multi-component model, a collection of ordinary differential equations which rely on a mechanism of external signals feedback. We analyze the existence and global stability of non-negative equilibria. We obtain the existence of Hopf bifurcation, and the direction and stability of bifurcating periodic orbits are calculated. Numerical simulations are included to show the rich spatiotemporal dynamics.

Suggested Citation

  • Yang, Bowen & Liu, Ping, 2019. "Global stability and Hopf bifurcation of a three-component model for cell production systems," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 478-489.
    • Handle: RePEc:eee:apmaco:v:354:y:2019:i:c:p:478-489
    DOI: 10.1016/j.amc.2019.02.042
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    References listed on IDEAS

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    1. Wei, Zhouchao & Zhu, Bin & Yang, Jing & Perc, Matjaž & Slavinec, Mitja, 2019. "Bifurcation analysis of two disc dynamos with viscous friction and multiple time delays," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 265-281.
    2. Ginoux, Jean-Marc & Naeck, Roomila & Ruhomally, Yusra Bibi & Dauhoo, Muhammad Zaid & Perc, Matjaž, 2019. "Chaos in a predator–prey-based mathematical model for illicit drug consumption," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 502-513.
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