Stationary distributions of a noisy logistic process
Statistical Mechanics
2007-05-23 v1 Populations and Evolution
Abstract
Stationary solutions to a Fokker-Planck equation corresponding to a noisy logistic equation with correlated Gaussian white noises are constructed. Stationary distributions exist even if the corresponding deterministic system displays an unlimited growth. Positive correlations between the noises can lead to a minimum of the variance of the process and to the stochastic resonance if the system is additionally driven by a periodic signal.
Keywords
Cite
@article{arxiv.cond-mat/0502389,
title = {Stationary distributions of a noisy logistic process},
author = {P. F. Gora},
journal= {arXiv preprint arXiv:cond-mat/0502389},
year = {2007}
}
Comments
15 pages in LaTeX incl. 4 PostScript figures. Submitted to Acta Physica Polonica B