Bifurcation in a G0 Model of Hematological Stem Cells With Delay.

The periodical dynamics of a G0 cell cycle model of pluripotential stem cells is analyzed by DDE‐Biftool software. The cell cycle model is impressed by modeling the optional choice of Hill function, which is benefited by Fourier transformation. The cell cycle is based on DDEs with distributed time delay, in which the kernel function is denoted by Gamma‐distribution expression. Hopf bifurcation of the linear version of the cell cycle model with distribution time delay is analyzed analytically. The periodical solution continuation is simulated by the artificial handbook of DDE‐Biftool software. With the discrete time delay, the complex behavior of adding‐period bifurcation and period‐doubling bifurcation are simulated. With distribution time delay, the continuation work of the homoclinic solution is done, and the homoclinic bifurcation line crosses the generalized Hopf point nearly. JEL Classification: 34C25, 34K18, 37G15 [ABSTRACT FROM AUTHOR]