Dynamics of a discrete-time predator-prey system with Holling II functional response

DOI10.1007/s12346-022-00562-5zbMath1486.37047OpenAlexW4210760429WikidataQ114220820 ScholiaQ114220820MaRDI QIDQ2114397

Carlos F. Arias, Gamaliel Blé, Manuel J. Falconi

Publication date: 15 March 2022

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

Full work available at URL: https://doi.org/10.1007/s12346-022-00562-5

zbMATH Keywords

chaoslimit cyclelocal dynamicsNeimark-Sacker bifurcationHolling II functional response

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Applications of difference equations (39A60)

Related Items (1)

Multiple bifurcations in a discrete Bazykin predator-prey model with predator intraspecific interactions and ratio-dependent functional response

Cites Work

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• Complex dynamics of a discrete-time predator-prey system with Holling IV functional response
• Uniform persistence and periodic solutions for a discrete predator-prey system with delays
• Bifurcations of a discrete prey-predator model with Holling type II functional response
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Dynamic complexities in predator--prey ecosystem models with age-structure for predator
• Bifurcations of a two-dimensional discrete-time predator-prey model
• Bifurcations in a discrete predator-prey model with nonmonotonic functional response
• Extinction for a discrete competition system with the effect of toxic substances
• Complexity and chaos control in a discrete-time prey-predator model
• Hydra effect and paradox of enrichment in discrete-time predator-prey models
• On redefining a snap-back repeller
• The dynamic effects of an inducible defense in the Nicholson-Bailey model
• Searching Predator and Prey Dominance in Discrete Predator-Prey Systems with Dispersion
• Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model
• Dynamics of a Discrete Nonlinear Prey–Predator Model
• Stability and Neimark–Sacker bifurcation of a ratio‐dependence predator–prey model
• A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays

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