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.
@article{arxiv.physics/0306179,
title = {Correlated noise in a logistic growth model},
author = {Bao-Quan Ai and Xian-Ju Wang and Guo-Tao Liu and Liang-Gang Liu},
journal= {arXiv preprint arXiv:physics/0306179},
year = {2007}
}