Dynamics on semi-discrete Mackey-Glass model

Dynamics on semi-discrete Mackey-Glass model

Blog Article

Red blood cells play an Red Clover extremely important role in human metabolism, and the study of hematopoietic models is of great significance in biology and medicine.A kind of semi-discrete hetmatopoietic model named Mackey-Glass Model was proposed and analyzed in this paper.The existences, stabilities, and local dynamics of the fixed points were discussed.By using bifurcation theory, we studied the Neimark-Sacker bifurcation, saddle-node bifurcation, and strong resonance of 1:4.

The numerical simulations were presented to illustrate the results of theoretical analysis obtained in this paper, and complex dynamical behaviors were found such as invariant cycles, heteroclinic cycles and Li-Yorke chaos.In addition, a new periodic bubbling phenomenon was discovered in numerical simulations.These not only reflect the richer dynamical behaviors of the semi-discrete models, but also some reflect the Evil Dead complex metabolic characteristics of the hematopoietic system under environmental intervention.