The stability and bifurcation analysis of a discrete Holling-Tanner model

DOI10.1186/1687-1847-2013-330zbMath1391.37059OpenAlexW2021440629WikidataQ59302128 ScholiaQ59302128MaRDI QIDQ1653149

Zongmin Yue, Yicang Zhou, Hui Cao

Publication date: 17 July 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-330

zbMATH Keywords

stabilityNeimark-Sacker bifurcationflip bifurcationdiscrete Holling-Tanner model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (6)

Bifurcation analysis and chaos control in a discrete-time predator-prey system of Leslie type with simplified Holling type IV functional response ⋮ Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates ⋮ Bifurcations and chaos in a discrete SI epidemic model with fractional order ⋮ Analysis of a Discrete-Time Fractional Order SIR Epidemic Model for Childhood Diseases ⋮ Complexity and chaos control in a discrete-time Lotka–Volterra predator–prey system ⋮ Dynamics and chaos control in a discrete-time ratio-dependent Holling-Tanner model

Cites Work

• Stability and bifurcation analysis of a discrete predator-prey model with nonmonotonic functional response
• Allee effect in a discrete-time predator-prey system
• Chaotic dynamics of a discrete prey-predator model with Holling type II
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
• Complex dynamic behaviors of a discrete-time predator-prey system
• Global stability in discrete population models with delayed-density dependence
• Center manifolds of dynamical systems under discretization
• Dynamics of a Predator-Prey Model
• The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing

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