Asymptotic behaviors of a two prey one predator model with cooperation among the prey species in a stochastic environment
type: Item
instance of: scholarly article
title: Asymptotic behaviors of a two prey one predator model with cooperation among the prey species in a stochastic environment
zbMATH Open document ID: 1428.37091
author: Soumen Kundu
author: Sarit Maitra
published in: Journal of Applied Mathematics and Computing
publication date: 2019-11-22T00:00:00Z
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7135509
zbMATH Keywords: predator-prey model
zbMATH Keywords: boundedness
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: Ito's formula
zbMATH Keywords: stationary distribution
zbMATH Keywords: ergodicity
Wikidata QID: Q114688366
MaRDI profile type: Publication
full work available at URL: s12190-019-01251-4
OpenAlex ID: W2940215856
cites work: Dynamical analysis of a delayed ratio-dependent prey-predator model within fluctuating environment
cites work: Q3895297
cites work: Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
cites work: Stability and Hopf-bifurcation in a general Gauss type two-prey and one-predator system
cites work: Permanence and periodicity of a delayed ratio-dependent predator-prey model with Holling type functional response and stage structure
cites work: Persistence and global stability in a delayed Leslie-Gower type three species food chain
cites work: Dynamics in a diffusive modified Leslie-Gower predator-prey model with time delay and prey harvesting
cites work: Elements of Mathematical Ecology
cites work: Dynamics of a nonautonomous predator--prey system with the Beddington-DeAngelis functional response
cites work: Hopf bifurcation and stability for predator-prey systems with Beddington-DeAngelis type functional response and stage structure for prey incorporating refuge
cites work: A model predator-prey system with functional response
cites work: A three species dynamical system involving prey-predation, competition and commensalism
cites work: The long time behavior of a predator-prey model with disease in the prey by stochastic perturbation
cites work: Dynamic behavior in a delayed stage-structured population model with stochastic fluctuation and harvesting
cites work: Mathematical biology. Vol. 2: Spatial models and biomedical applications.
cites work: Q4429919
cites work: Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
cites work: Q3883249
cites work: Two-prey one-predator model
cites work: Stability of a three-species symbiosis model with delays
cites work: Optimal harvesting of a stochastic mutualism model with Lévy jumps
cites work: Dynamical behaviour of a delayed three species predator-prey model with cooperation among the prey species
cites work: Persistence, attractivity, and delay in facultative mutualism
cites work: QUALITATIVE ANALYSIS FOR A DELAYED THREE SPECIES PREDATOR-PREY MODEL IN PRESENCE OF COOPERATION AMONG PREYS
cites work: Analysis of a stochastic non-autonomous food-limited Lotka-Volterra cooperative model
cites work: Numerical solutions of stochastic differential delay equations under local Lipschitz condition
cites work: Q4369402
cites work: Dynamics of a multigroup SIR epidemic model with stochastic perturbation
cites work: An algorithmic introduction to numerical simulation of stochastic differential equations
cites work: Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
DOI: 10.1007/S12190-019-01251-4
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description: scientific article; zbMATH DE number 7135509