关键词: 昼夜节律模型, 时滞, Hopf分支, 周期振荡

Abstract:

A delayed circadian rhythm model was studied. By analyzing the roots of transcendental characteristic equation for linear system, periodic oscillations were established. Furthermore, global existence of periodic solutions was obtained with the help of global Hopf bifurcation theory. Finally, numerical examples were reported to confirm our theory.

Key words:  circadian rhythm model, delay, Hopf bifurcation, periodic oscillation