Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation
type: Item
instance of: scholarly article
title: Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation
zbMATH Open document ID: 1204.34065
DOI: 10.1155/2010/684926
author: Chunyan Ji
author: Daqing Jiang
author: Hong Liu
author: Qing-Shan Yang
published in: Mathematical Problems in Engineering
publication date: 2010-09-30T00:00:00Z
full work available at URL: https://eudml.org/doc/226201
review text: Summary: We discuss a two-species Lotka-Volterra mutualism system with stochastic perturbation. We show that there is a unique nonnegative solution of this system. Furthermore, we investigate that there exists a stationary distribution for this system, and it has the ergodic property.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34F05
zbMATH DE Number: 5793783
MaRDI profile type: Publication
OpenAlex ID: W1970199779
Wikidata QID: Q58653266
cites work: On the structure and stability of mutualistic systems: Analysis of predator-prey and competition models as modified by the action of a slow- growing mutualist
cites work: Q3827835
cites work: Persistence, attractivity, and delay in facultative mutualism
cites work: Existence of positive periodic solution of mutualism system with several delays
cites work: Q5427363
cites work: Q4792212
cites work: A nonlinear two-species oscillatory system: bifurcation and stability analysis
cites work: The Influence of External Real and White Noise on the L<scp>OTKA</scp>‐V<scp>OLTERRA</scp> Model
cites work: Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
cites work: Numerical simulation of stochastic ordinary differential equations in biomathematical modelling.
cites work: Long term behavior of solutions of the Lotka-Volterra system under small random perturbations.
cites work: Modelling Biological Populations in Space and Time
cites work: Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
cites work: Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
cites work: Population dynamical behavior of Lotka-Volterra system under regime switching
cites work: Environmental Brownian noise suppresses explosions in population dynamics.
cites work: Asymptotic behaviour of the stochastic Lotka-Volterra model.
cites work: Local to global theorems in the theory of Hurewicz fibrations
cites work: Q4369402
cites work: A note on nonautonomous logistic equation with random perturbation
cites work: The persistence of synchronization under environmental noise
cites work: An algorithmic introduction to numerical simulation of stochastic differential equations
description: scientific article; zbMATH DE number 5793783