Correlated noise in a logistic growth model

Bao-Quan Ai; Xian-Ju Wang; Guo-Tao Liu; Liang-Gang Liu

doi:10.1103/PhysRevE.67.022903

Correlated noise in a logistic growth model

Bao-Quan Ai, Xian-Ju Wang, Guo-Tao Liu, and Liang-Gang Liu

Phys. Rev. E 67, 022903 – Published 27 February 2003

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.

Received 25 June 2002

DOI:https://doi.org/10.1103/PhysRevE.67.022903

Authors & Affiliations

Bao-Quan Ai, Xian-Ju Wang, Guo-Tao Liu, and Liang-Gang Liu^*

Department of Physics, ZhongShan University, GuangZhou, People’s Republic of China

^*Email address: stdp05@zsu.edu.cn

Comments & Replies

Comment on “Correlated noise in a logistic growth model”

Anita Behera and S. Francesca C. O’Rourke

Phys. Rev. E 77, 013901 (2008)

Reply to “Comment on ‘Correlated noise in a logistic growth model’ ”

Bao-quan Ai, Xian-ju Wang, and Liang-gang Liu

Phys. Rev. E 77, 013902 (2008)

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Vol. 67, Iss. 2 — February 2003

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics