Dynamics of stochastic coral reefs model with multiplicative nonlinear noise
type: Item
instance of: scholarly article
title: Dynamics of stochastic coral reefs model with multiplicative nonlinear noise
zbMATH Open document ID: 1417.92210
DOI: 10.1155/2016/7848793
author: Zaitang Huang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: Little seems to be known about the ergodicity of random dynamical systems with multiplicative nonlinear noise. This paper is devoted to discern asymptotic behavior dynamics through the stochastic coral reefs model with multiplicative nonlinear noise. By support theorem and Hörmander theorem, the Markov semigroup corresponding to the solutions is to prove the Foguel alternative. Based on boundary distributions theory, the required conservative operators related to the solutions are further established to ensure the existence a stationary distribution. Meanwhile, the density of the distribution of the solutions either converges to a stationary density or weakly converges to some probability measure.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 7026895
Wikidata QID: Q59123656
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/7848793
OpenAlex ID: W2461159502
cites work: Mathematical analysis of coral reef models
cites work: Modeling fish biomass structure at near pristine coral reefs and degradation by fishing
cites work: Conditions for permanence and ergodicity of certain stochastic predator-prey models
cites work: Asymptotic behavior of predator-prey systems perturbed by white noise
cites work: Long-time behaviour of a stochastic prey--predator model.
cites work: Stochastic stability and bifurcation for the chronic state in Marchuk's model with noise
cites work: Persistence in stochastic food web models
cites work: Q4338975
cites work: Q3764976
cites work: Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
cites work: Q3959169
cites work: Q4693053
cites work: Stability of Markov semigroups and applications to parabolic systems
cites work: Q4864462
cites work: Q5670045
cites work: Q3749860
cites work: Q4279819
cites work: Harris operators
cites work: Conservative Markov processes on a topological space
description: scientific article; zbMATH DE number 7026895