J4 ›› 2010, Vol. 48 ›› Issue (06): 921-925.

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Periodic Oscillations of a Delayed Circadian Rhythm Model

ZHUANG Kejun   

  1. School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui Province, China
  • Received:2009-09-08 Online:2010-11-26 Published:2010-11-26
  • Contact: ZHUANG Kejun E-mail:zhkj123@163.com

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

CLC Number: 

  • O175.7