The stationary distribution and ergodicity of a stochastic generalized logistic system
type: Item
instance of: scholarly article
title: The stationary distribution and ergodicity of a stochastic generalized logistic system
zbMATH Open document ID: 1302.60093
author: Dingshi Li
published in: Statistics \& Probability Letters
publication date: 2013-05-13T00:00:00Z
review text: In this article, the author considers a certain multiplicative stochastic perturbation of a generalized logistic equation. The main result shows that there exists a critical relation of the parameters of the perturbed equation which determines the boundary between the existence of a stationary distribution (with ergodic properties in integrable functions) and the extinction/vanishing of the perturbed original equation.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 37C40
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6162709
zbMATH Keywords: generalized logistic equation
zbMATH Keywords: white noise perturbation of ODE
zbMATH Keywords: stationary distribution
MaRDI profile type: Publication
full work available at URL: j.spl.2012.11.006
OpenAlex ID: W1986519260
DOI: 10.1016/J.SPL.2012.11.006
description: scientific article; zbMATH DE number 6162709