Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting
type: Item
instance of: scholarly article
title: Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting
zbMATH Open document ID: 1496.92086
author: Zhenliang Zhu
author: Xiaqing He
author: Fengde Chen
author: Jia-Lin Chen
published in: Open Mathematics
publication date: 2022-10-18T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7602789
zbMATH Keywords: discrete predator-prey system
zbMATH Keywords: Leslie-Gower
zbMATH Keywords: Michaelis-Menten type harvesting
zbMATH Keywords: fold bifurcation
zbMATH Keywords: flip bifurcation
zbMATH Keywords: Neimark-Sacker bifurcation
MaRDI profile type: Publication
full work available at URL: math-2022-0054
OpenAlex ID: W4292809343
Wikidata QID: Q114052806
cites work: Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting
cites work: Bifurcations analysis of Leslie-Gower predator-prey models with nonlinear predator-harvesting
cites work: Q6104865
cites work: On a predator-prey system interaction under fluctuating water level with nonselective harvesting
cites work: Note on the stability property of a cooperative system incorporating harvesting
cites work: Global attractivity of a discrete cooperative system incorporating harvesting
cites work: Stability and bifurcation analysis of two species amensalism model with Michaelis-Menten type harvesting and a cover for the first species
cites work: Stability and bifurcation analysis in a single-species stage structure system with Michaelis-Menten-type harvesting
cites work: The influence of commensalism on a Lotka-Volterra commensal symbiosis model with Michaelis-Menten type harvesting
cites work: Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting
cites work: BIFURCATION AND CONTROL IN A DIFFERENTIAL-ALGEBRAIC HARVESTED PREY-PREDATOR MODEL WITH STAGE STRUCTURE FOR PREDATOR
cites work: BIFURCATIONS OF A HOLLING-TYPE II PREDATOR–PREY SYSTEM WITH CONSTANT RATE HARVESTING
cites work: Analysis of prey-predator three species fishery model with harvesting including prey refuge and migration
cites work: Dynamics of a Harvested Prey–Predator Model with Prey Refuge Dependent on Both Species
cites work: Stability and Hopf Bifurcation of a Delayed Prey–Predator Model with Disease in the Predator
cites work: Bifurcations in a discrete time Lotka-Volterra predator-prey system
cites work: Complex dynamic behaviors of a discrete-time predator-prey system
cites work: Bifurcation and chaotic behavior of a discrete-time predator-prey system
cites work: Global attractivity of a discrete competition model
cites work: Bifurcation analysis of a discrete-time ratio-dependent predator-prey model with Allee effect
cites work: Complex dynamics of a discrete-time predator-prey system with Holling IV functional response
cites work: Bifurcation, chaos and pattern formation in a space- and time-discrete predator-prey system
cites work: Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response
cites work: Stability and permanence of a discrete-time two-prey one-predator system with Holling type-III functional response
cites work: Bifurcations in a discrete predator-prey model with nonmonotonic functional response
cites work: Stability and bifurcation analysis of a discrete predator-prey system with modified Holling-Tanner functional response
cites work: BIFURCATIONS AND CHAOS CONTROL IN A DISCRETE-TIME PREDATOR-PREY SYSTEM OF LESLIE TYPE
cites work: Dynamical analysis and chaos control in discrete-time prey-predator model
cites work: Bifurcations and chaos in a discrete predator-prey model with Crowley-Martin functional response
cites work: Bifurcation and chaos in a discrete-time predator-prey system of Holling and Leslie type
cites work: Bifurcation analysis and chaos control in discrete-time modified Leslie-Gower prey harvesting model
cites work: Bifurcations in a modified Leslie-Gower predator-prey discrete model with Michaelis-Menten prey harvesting
cites work: Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis-Menten type prey-harvesting
cites work: On the stability in a discrete two-species competition system
cites work: Application of center manifold reduction to nonlinear system stabilization
cites work: Introduction to Applied Nonlinear Dynamical Systems and Chaos
cites work: Relaxation oscillations in a slow-fast predator-prey model with weak Allee effect and Holling-IV functional response
cites work: Canard cycles for predator-prey systems with Holling types of functional response
cites work: Predator–prey systems with small predator's death rate
cites work: Extending geometric singular perturbation theory to nonhyperbolic points -- fold and canard points in two dimensions
DOI: 10.1515/MATH-2022-0054
description: scientific article; zbMATH DE number 7602789