摘要
应用小延时近似方法,研究了色关联噪声诱导的延时逻辑生长过程,得到了肿瘤细胞数的稳态概率分布Pst(x)的近似解析表达式,发现延时τ的变化可以使Pst(x)发生由多极值结构向单极值结构的转换,延时τ还可以使随机系统的平均值〈x〉、二阶矩〈x2〉、归一化涨落Var的极值位置和极值大小发生改变.
The small time-delay approach is applied to logistic growth model when time-delayed feedback and colored correlated noises are included in the system. The steady state probability distribution Pst （ x ） of the tumor cell number is obtained. It is found that a configuration transition of multiple peaks to a single peak occurs due to the variation of delay time τ. An extremum appears in the curves of the mean of the steady-state tumor cell number 〈 x 〉, the second moment 〈 x^2 〉, and the normalized variance Vax versus λ. The positions and the peak values of the extrema can be effected by the time delay.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2008年第5期2699-2703,共5页
Acta Physica Sinica
基金
湖北省教育厅重大项目(批准号:Z200612001)资助的课题~~
关键词
逻辑生长过程
延时
关联色噪声
统计性质
logistic growth process, delay time, colored correlated noises, statistical properties
