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

Bowen Yang and Ping Liu

Applied Mathematics and Computation, 2019, vol. 354, issue C, 478-489

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.

Keywords: Cell production system; Three-component; Global stability; Hopf bifurcation (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:354:y:2019:i:c:p:478-489

DOI: 10.1016/j.amc.2019.02.042

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