Asymptotic analysis of the bistable Lotka-Volterra competition-diffusion system

DOI10.1016/j.amc.2022.127371OpenAlexW4285489643MaRDI QIDQ2161859

Zihao Wang, Alvin Bayliss, Vladimir A. Volpert

Publication date: 5 August 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127371

zbMATH Keywords

asymptotic analysispropagation speedLotka-Volterra competitionbistable traveling wavesperturbative approach

Mathematics Subject Classification ID

Genetics and population dynamics (92Dxx) Parabolic equations and parabolic systems (35Kxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (2)

Competing alliances in a four-species cyclic ecosystem ⋮ Cyclic ecological systems with an exceptional species

Cites Work

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• Regimes of biological invasion in a predator-prey system with the Allee effect
• The mathematics behind biological invasions
• Reversing invasion in bistable systems
• Multiple travelling wave solutions of three-component systems with competition and diffusion
• Singular perturbation approach to stability properties of travelling wave solutions of reaction-diffusion systems
• Artificial small parameter method-solving mixed boundary value problems
• Singular perturbation approach to traveling waves in competing and diffusing species models
• Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
• Singular limit approach to stability and bifurcation for bistable reaction diffusion systems
• Asymptotic analysis of reaction-diffusion wave fronts
• An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation
• Homotopy perturbation method: a new nonlinear analytical technique
• Traveling waves for a diffusive Lotka-Volterra competition model. I: Singular perturbations
• Comparison of homotopy perturbation method and homotopy analysis method
• Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
• An approximate solution technique not depending on small parameters: A special example
• Stability of monotone travelling waves for competition-diffusion equations
• Existence of standing waves for competition-diffusion equations
• The sign of the wave speed for the Lotka-Volterra competition-diffusion system
• Oscillations and pattern formation in a slow-fast prey-predator system
• The sign of traveling wave speed in bistable dynamics
• Comparison between the homotopy analysis method and homotopy perturbation method
• Travelling Waves in Near-Degenerate Bistable Competition Models
• Singular Limit Analysis of Stability of Traveling Wave Solutions in Bistable Reaction-Diffusion Systems
• Bistable wave speed of the Lotka-Volterra competition model
• Singular Perturbation Approach to a 3-component Reaction-Diffusion System Arising in Population Dynamics
• Travelling waves for diffusive and strongly competitive systems: Relative motility and invasion speed
• Parameter Dependence of Propagation Speed of Travelling Waves for Competition-Diffusion Equations
• Singular limits for travelling waves for a pair of equations
• Traveling wave solutions in a model for social outbursts in a tension‐inhibitive regime
• Speed of the traveling wave for the bistable Lotka–Volterra competition model
• Creeping fronts in degenerate reaction–diffusion systems

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