Open AccessTime-delayed Logistic system driven by correlated Gaussian white noises
Author(s) -
Yukun Guo,
Xu Wei
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.6081
Subject(s) - white noise , steady state (chemistry) , statistical physics , logistic regression , multiplicative noise , multiplicative function , additive white gaussian noise , noise (video) , gaussian , gaussian noise , probability density function , logistic function , physics , statistics , computer science , mathematics , mathematical analysis , telecommunications , quantum mechanics , algorithm , artificial intelligence , chemistry , image (mathematics) , signal transfer function , transmission (telecommunications) , analog signal
Time-delayed Logistic system driven by correlated Gaussian white noises could be a more true reflection of the growth of tumor cell population. In this paper, we study the Logistic system through the small time delay approximation to obtain the probability density of the system in its steady state, and further analyze the influences of the additive and multiplicative noise intensity, the noise-correlated time and the time delay on the steady-state probability density. The non-equilibrium phase transition phenomena induced by the noises is also studied.