Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response

DOI10.1016/j.chaos.2016.09.020zbMath1372.37134OpenAlexW2531530510WikidataQ115579792 ScholiaQ115579792MaRDI QIDQ2408353

A. A. Elsadany, Sanaa Moussa Salman, A. M. Yousef

Publication date: 12 October 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2016.09.020

zbMATH Keywords

fixed pointschaosbifurcationlocal stabilityfunctional responsepredator preyOGY control

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

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Cites Work

• Unnamed Item
• Unnamed Item
• Ecoepidemic predator-prey model with feeding satiation, prey herd behavior and abandoned infected prey
• Bifurcation and chaotic behavior of a discrete-time Ricardo-Malthus model
• Global stability of periodic solutions for a discrete predator-prey system with functional response
• Controlling complex dynamics in a protected area discrete-time model
• Dynamical behaviors of fractional-order Lotka-Volterra predator-prey model and its discretization
• Complex dynamics of a discrete-time predator-prey system with Holling IV functional response
• Stability and bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response
• Chaotic control of Hénon map with feedback and nonfeedback methods
• Regularity and complexity in dynamical systems
• Bifurcation analysis of discrete survival red blood cells model
• Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system
• Uniform persistence and periodic solutions for a discrete predator-prey system with delays
• Complex nonlinearity. Chaos, phase transitions, topology change and path integrals
• Chaotic dynamics of a discrete prey-predator model with Holling type II
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Complex dynamic behavior of a discrete-time predator-prey system of Holling-III type
• Predator-prey dynamics with square root functional responses
• Dynamical behavior of fractional-order Hastings-powell food chain model and its discretization
• Bifurcation analysis of a discrete-time ratio-dependent predator-prey model with Allee effect
• Bifurcation and stability analysis in predator-prey model with a stage-structure for predator
• Complex dynamic behaviors of a discrete-time predator-prey system
• On redefining a snap-back repeller
• Ecoepidemics with infected prey in herd defence: the harmless and toxic cases
• A MINIMAL MODEL FOR ECOEPIDEMICS WITH GROUP DEFENSE
• GLOBAL ASYMPTOTIC STABILITY FOR A TWO-SPECIES DISCRETE RATIO-DEPENDENT PREDATOR–PREY SYSTEM
• Bifurcation analysis in a discrete BAM network model with delays
• Mathematical Models in Population Biology and Epidemiology
• Controlling chaos
• Deterministic Nonperiodic Flow
• Periodic Solutions of Nonautonomous Discrete Predator-Prey System of Lotka-Volterra Type
• Elements of applied bifurcation theory

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