Stability and bifurcation analysis in leukopoiesis models with two delays
Cuilian Zhang, Zhaozhuang Guo
Available Online March 2013.
- https://doi.org/10.2991/iccsee.2013.705How to use a DOI?
- Leukopoiesis, Delay differential equations, Stability, Hopf bifurcation.
- We consider a nonlinear system of two equations, describing the evolution of a stem cell population and the resulting white blood cell population. Two delays appear in this model to describe the cell cycle duration of the stem cell population and the time required to produce white blood cells. We establish sufficient conditions for the asymptotic stability of the unique nontrivial positive steady state of the model by analyzing roots of a second degree exponential polynomial characteristic equation with delay-dependent coefficients. We also prove the existence of Hopf bifurcations which leads to periodic solutions.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Cuilian Zhang AU - Zhaozhuang Guo PY - 2013/03 DA - 2013/03 TI - Stability and bifurcation analysis in leukopoiesis models with two delays BT - Proceedings of the 2nd International Conference on Computer Science and Electronics Engineering PB - Atlantis Press SP - 2824 EP - 2828 SN - 1951-6851 UR - https://doi.org/10.2991/iccsee.2013.705 DO - https://doi.org/10.2991/iccsee.2013.705 ID - Zhang2013/03 ER -