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.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
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)
关键词
昼夜节律模型
时滞
HOPF分支
周期振荡
circadian rhythm model
delay
Hopf bifurcation
periodic oscillation
