Dynamics of a Discrete Nonlinear Prey–Predator Model

DOI10.1142/S0218127420500558zbMath1442.37106OpenAlexW3016874765WikidataQ115523598 ScholiaQ115523598MaRDI QIDQ5107087

JinRong Wang, Michal Fečkan

Publication date: 22 April 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420500558

zbMATH Keywords

stabilityNeimark-Sacker bifurcationimpulsive modelbackward dynamicsdiscrete nonlinear prey-predator model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (4)

Stability and Bifurcation Analysis of a Discrete Severe Fever with Thrombocytopenia Syndrome Model ⋮ Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect ⋮ Analysis of Degenerate Chenciner Bifurcation ⋮ Dynamics of a discrete-time predator-prey system with Holling II functional response

Cites Work

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• Lectures on dynamical systems. Hamiltonian vector fields and symplectic capacities
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• Ecological monitoring in a discrete-time prey-predator model
• Bifurcations in a discrete predator-prey model with nonmonotonic functional response
• A note on the existence of periodic solutions in discrete predator-prey models
• Complexity and chaos control in a discrete-time prey-predator model
• Hydra effect and paradox of enrichment in discrete-time predator-prey models

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