Dynamical properties of a logistic growth model with cross-correlated noises

作者：Wang Cheng Yu; Gao Yun; Wang Xue Wen; Song Yu min; Zhou Peng; Yang Hai^*

来源：Physica A: Statistical Mechanics and Its Applications , 2011, 390(1): 1-7.

DOI：10.1016/j.physa.2010.03.053

• Stochastic analysis methods
• Fluctuation phenomena
• Stochastic processes

A logistic growth model driven by additive and multiplicative noises which are correlated with each other is investigated. Using the Novikov theorem and the projection operator method, we obtain the analytic expressions of the stationary probability distribution p(st)(x), the relaxation time T(c), and the normalized correlation function C(s) of this system. The computational results show that the relaxation time T(c) increases as the cross-correlated time tau increases, but decreases while the cross-correlated strength lambda increases. The relationship between the relaxation time C(s) and the decay time s is given. Correlation time tau and correlation strength lambda play an opposite role on dynamic properties in this logistic growth model.

• 出版日期2011-1-1
• 单位云南开放大学; 云南师范大学