Bifurcation, chaos analysis and control in a discrete-time predator-prey system
type: Item
instance of: scholarly article
title: Bifurcation, chaos analysis and control in a discrete-time predator-prey system
zbMATH Open document ID: 1458.37102
author: Donghan Cai
author: Weiyi Liu
published in: Advances in Difference Equations
publication date: 2019-02-04T00:00:00Z
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 37M22
Mathematics Subject Classification ID: 39A28
Mathematics Subject Classification ID: 65P20
Mathematics Subject Classification ID: 65P30
Mathematics Subject Classification ID: 34H10
zbMATH DE Number: 7012079
zbMATH Keywords: predator-prey model
zbMATH Keywords: local stability
zbMATH Keywords: Neimark-Sacker bifurcation
zbMATH Keywords: Marotto's chaos
zbMATH Keywords: bifurcation control
zbMATH Keywords: chaos control
Wikidata QID: Q115518721
MaRDI profile type: Publication
full work available at URL: s13662-019-1950-6
OpenAlex ID: W2938873725
cites work: Q3992578
cites work: The properties of a stochastic model for the predator-prey type of interaction between two species
cites work: Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
cites work: Analysis of a stochastic eco-epidemiological model with modified Leslie-gower functional response
cites work: Study of a Leslie-Gower-type tritrophic population model
cites work: Qualitative analysis of a ratio-dependent Holling-Tanner model
cites work: Global asymptotical stability and persistent property for a diffusive predator-prey system with modified Leslie-Gower functional response
cites work: Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model
cites work: Stability of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes and time-delay in two dimensions
cites work: Impulsive effect on tri-trophic food chain model with mixed functional responses under seasonal perturbations
cites work: ANALYSIS OF A STOCHASTIC TWO-PREDATORS ONE-PREY SYSTEM WITH MODIFIED LESLIE-GOWER AND HOLLING-TYPE Ⅱ SCHEMES
cites work: GLOBAL ASYMPTOTIC STABILITY OF A GENERALIZED SIRS EPIDEMIC MODEL WITH TRANSFER FROM INFECTIOUS TO SUSCEPTIBLE
cites work: Bifurcation theory for finitely smooth planar autonomous differential systems
cites work: New mathematical model of vertical transmission and cure of vector-borne diseases and its numerical simulation
cites work: Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations
cites work: Finite‐time stability of a class of oscillating systems with two delays
cites work: Bifurcation analysis and control of a discrete harvested prey-predator system with Beddington-DeAngelis functional response
cites work: Complex dynamics on the routes to chaos in a discrete predator-prey system with Crowley-Martin type functional response
cites work: Complex dynamics of a discrete-time predator-prey system with Ivlev functional response
cites work: Complex dynamics of a discrete predator–prey model with the prey subject to the Allee effect
cites work: Stability and bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Bifurcation and chaotic behavior of a discrete-time predator-prey system
cites work: Introduction to Applied Nonlinear Dynamical Systems and Chaos
cites work: Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions
cites work: Q4585594
cites work: Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems
cites work: Q4223051
cites work: Feedback regulation of logistic growth
cites work: Snap-back repellers imply chaos in \(\mathbb{R}^n\)
cites work: On redefining a snap-back repeller
cites work: Snapback repellers and homoclinic orbits for multi-dimensional maps
cites work: BIFURCATION AND CHAOS IN THE TINKERBELL MAP
cites work: Bifurcations and chaos in a discrete predator-prey model with Crowley-Martin functional response
cites work: THE BOGDANOV MAP: BIFURCATIONS, MODE LOCKING, AND CHAOS IN A DISSIPATIVE SYSTEM
DOI: 10.1186/S13662-019-1950-6
description: scientific article; zbMATH DE number 7012079