Global dynamics and bifurcations analysis of a two-dimensional discrete-time Lotka-Volterra model

DOI10.1155/2018/7101505zbMath1390.49051OpenAlexW2785155620MaRDI QIDQ1646500

Y. Aharonov

Publication date: 25 June 2018

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/7101505

zbMATH Keywords

local stabilitybifurcationsglobal dynamicstwo-dimensional discrete-time Lotka-Volterra model

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Discrete-time control/observation systems (93C55) Linearizations (93B18) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Pursuit and evasion games (49N75) Positional games (pursuit and evasion, etc.) (91A24) Bifurcation theory for difference equations (39A28)

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Cites Work

• Dynamics of a two-dimensional system of rational difference equations of Leslie-Gower type
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Convergence to equilibrium in a genetic model with differential viability between the sexes
• Global stability of Gause-type predator-prey systems
• Stable periodic solutions in a discrete periodic logistic equation
• Mathematical biology. Vol. 1: An introduction.
• Dynamics of a discrete Lotka-Volterra model
• A note on the existence of periodic solutions in discrete predator-prey models
• Bifurcations of a two-dimensional discrete time plant-herbivore system
• Complex dynamic behaviors of a discrete-time predator-prey system
• Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect
• On the Nonautonomous Volterra-Lotka Competition Equations
• On positive periodic solutions of Lotka-Volterra competition systems with deviating arguments
• Elements of applied bifurcation theory
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