Correlated noise in a logistic growth model
Bao-Quan Ai, Xian-Ju Wang, Guo-Tao Liu, Liang-Gang Liu
Abstract
The logistic differential equation is used to analyze cancer cell population, in the presence of a correlated Gaussian white noise. We study the steady state properties of tumor cell growth and discuss the effects of the correlated noise. It is found that the degree of correlation of the noise can cause tumor cell extinction.
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