具有时滞的昼夜节律模型的周期振荡  

Periodic Oscillations of a Delayed Circadian Rhythm Model

作　　者：庄科俊[1] 

机构地区：[1]安徽财经大学统计与应用数学学院,安徽蚌埠233030

出　　处：《吉林大学学报（理学版）》2010年第6期921-925,共5页Journal of Jilin University:Science Edition

基　　金：安徽省自然科学基金(批准号:090416222);安徽省高校自然科学研究项目(批准号:KJ2009B076Z)

摘　　要：对分子水平下一类具有时滞的昼夜节律模型,通过讨论其变分系统超越特征方程根的分布情况,得到了系统周期振荡的充分条件;应用全局Hopf分支理论,将分支周期解的存在性由局部延拓到全局,并通过数值例子验证了理论分析结果.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.

关 键 词：昼夜节律模型 时滞 HOPF分支 周期振荡 

分 类 号：O175.7[理学—数学]