Permanence and asymptotical behavior of stochastic prey-predator system with Markovian switching
type: Item
instance of: scholarly article
title: Permanence and asymptotical behavior of stochastic prey-predator system with Markovian switching
zbMATH Open document ID: 1410.34144
author: Mengqian Ouyang
author: Xiaoyue Li
published in: Applied Mathematics and Computation
publication date: 2019-03-15T00:00:00Z
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60J28
Mathematics Subject Classification ID: 92B05
zbMATH DE Number: 7036730
zbMATH Keywords: Brownian motion
zbMATH Keywords: stochastic differential equation
zbMATH Keywords: generalized Itô's formula
zbMATH Keywords: Markov chain
zbMATH Keywords: ratio-dependent prey-predator model
MaRDI profile type: Publication
full work available at URL: j.amc.2015.05.083
OpenAlex ID: W2217731585
Wikidata QID: Q115598297
cites work: The Influence of External Real and White Noise on the L<scp>OTKA</scp>‐V<scp>OLTERRA</scp> Model
cites work: Q3367495
cites work: Global analyses in some delayed ratio-dependent predator-prey systems
cites work: Parametric analysis of the ratio-dependent predator-prey model
cites work: Dynamical behavior of Lotka-Volterra competition systems: non-autonomous bistable case and the effect of telegraph noise
cites work: Q4086525
cites work: Q3895297
cites work: Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
cites work: Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
cites work: Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
cites work: Qualitative analysis of a stochastic ratio-dependent predator-prey system
cites work: Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation
cites work: A note on a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
cites work: Stability of regime-switching stochastic differential equations
cites work: A survey of numerical methods for stochastic differential equations
cites work: Global qualitative analysis of a ratio-dependent predator-prey system
cites work: Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
cites work: Population dynamical behavior of Lotka-Volterra system under regime switching
cites work: Approximate solutions of stochastic differential delay equations with Markovian switching
cites work: A stochastic ratio-dependent predator-prey model under regime switching
cites work: Q4338975
cites work: Stabilization and destabilization of hybrid systems of stochastic differential equations
cites work: Stochastic Differential Equations with Markovian Switching
cites work: Approximations of Euler-Maruyama type for stochastic differential equations with Markovian switching, under non-Lipschitz conditions
cites work: Q4429919
cites work: BIFURCATIONS, AND TEMPORAL AND SPATIAL PATTERNS OF A MODIFIED LOTKA–VOLTERRA MODEL
cites work: Q4765883
cites work: DYNAMICS OF A STOCHASTIC RATIO-DEPENDENT PREDATOR-PREY MODEL
cites work: Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
cites work: Stochastic delay logistic model under regime switching
cites work: Global dynamics of a ratio-dependent predator-prey system
cites work: Convergence of the Euler--Maruyama method for stochastic differential equations with Markovian switching.
DOI: 10.1016/J.AMC.2015.05.083
description: scientific article; zbMATH DE number 7036730