Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics

@inproceedings{Adimy2005StabilityAH,
  title={Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics},
  author={Mostafa Adimy and Fabien Crauste and Shigui Ruan},
  year={2005}
}
We study a mathematical model describing the dynamics of a pluripotent stem cell population involved in the blood production process in the bone marrow. This model is a differential equation with a time delay. The delay describes the cell cycle duration and is uniformly distributed on an interval. We obtain stability conditions independent of the delay. We also show that the distributed delay can destabilize the entire system. In particularly, it is shown that Hopf bifurcations can occur.