Dynamics of predator-prey model based on fear effect with bifurcation analysis and chaos control

DOI10.1007/s12346-023-00878-wOpenAlexW4387906747MaRDI QIDQ6059210

Qamar Din, Khuram Ali Khan, Waqas Ishaque, Rostin Matendo Mabela

Publication date: 2 November 2023

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-023-00878-w

zbMATH Keywords

stabilitychaos controlpredator-prey modelNeimark-Sacker bifurcationperiod-doubling bifurcationfear effect

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Cites Work

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• Bifurcation and chaotic behavior of a discrete-time predator-prey system
• Controlling Hopf bifurcations: discrete-time systems
• Modelling the fear effect in predator-prey interactions
• Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Fractional-order Chua's system: discretization, bifurcation and chaos
• Controlling Hopf bifurcations of discrete-time systems in resonance
• Impact of the fear effect in a prey-predator model incorporating a prey refuge
• Impact of predator incited fear and prey refuge in a fractional order prey predator model
• Population dynamic consequences of fearful prey in a spatiotemporal predator-prey system
• Fear effect in prey and hunting cooperation among predators in a Leslie-Gower model
• Bifurcation analysis of a discrete-time ratio-dependent predator-prey model with Allee effect
• Population dynamics with multiple Allee effects induced by fear factors -- a mathematical study on prey-predator interactions
• Dynamics of a predator-prey system with fear and group defense
• Complex dynamic behaviors of a discrete-time predator-prey system
• On redefining a snap-back repeller
• Bifurcations and chaos in a two-dimensional discrete Hindmarsh-Rose model
• Impulsive control and Hopf bifurcation of a three-dimensional chaotic system
• Bifurcation and control for a discrete-time prey–predator model with Holling-IV functional response
• Hunting Cooperation in a Discrete-Time Predator–Prey System
• Controlling chaos
• On time-delayed feedback control of chaotic systems
• Second-order fast terminal sliding mode control design based on LMI for a class of non-linear uncertain systems and its application to chaotic systems
• Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Fear
• Fear Induced Stabilization in an Intraguild Predation Model
• DYNAMICAL STUDY OF DISCRETE-TIME PREY–PREDATOR MODEL WITH CONSTANT PREY REFUGE UNDER IMPRECISE BIOLOGICAL PARAMETERS
• The effect of the fear factor on the dynamics of a predator-prey model incorporating the prey refuge
• Stability and Hopf Bifurcation in a Predator–Prey Model with the Cost of Anti-Predator Behaviors
• Controlling chaotic dynamical systems

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