Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system

DOI10.1016/J.JMAA.2018.12.007zbMath1408.34013OpenAlexW2905345794WikidataQ128767286 ScholiaQ128767286MaRDI QIDQ1728033

Chin-Chin Wu, Toshiko Ogiwara, Ken-Ichi Nakamura, Jong-Shenq Guo

Publication date: 21 February 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.12.007

zbMATH Keywords

stabilityuniquenesstraveling wavelattice dynamical systembistable

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Ordinary lattice differential equations (34A33)

Related Items (8)

Speed determinacy of travelling waves for a three-component lattice Lotka–Volterra competition system ⋮ Invasion traveling waves of a three species Lotka-Volterra competitive system with nonlocal dispersal ⋮ Global stability of bistable traveling wavefronts for a three-species Lotka–Volterra competition system with nonlocal dispersal ⋮ A continuation method for spatially discretized models with nonlocal interactions conserving size and shape of cells and lattices ⋮ Propagation direction of the traveling wave for the Lotka-Volterra competitive lattice system ⋮ Global stability of traveling wave fronts in a two-dimensional lattice dynamical system with global interaction ⋮ The sign of traveling wave speed in bistable dynamics ⋮ Reaction–diffusion equations on graphs: stationary states and Lyapunov functions

Cites Work

• Stability of traveling wavefronts for a discrete diffusive Lotka-Volterra competition system
• Monotonicity and uniqueness of wave profiles for a three components lattice dynamical system
• The minimal speed of traveling wave solutions for a diffusive three species competition system
• Stability for monostable wave fronts of delayed lattice differential equations
• Wave propagation for a two-component lattice dynamical system arising in strong competition models
• Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
• Recent developments on wave propagation in 2-species competition systems
• Existence of traveling wavefront for discrete bistable competition model
• Traveling wave front for a two-component lattice dynamical system arising in competition models
• The existence of traveling wave solutions for a bistable three-component lattice dynamical system
• Traveling waves in discrete periodic media for bistable dynamics
• Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system
• Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Stability of monotone travelling waves for competition-diffusion equations
• Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Stability of Traveling Wavefronts for the Discrete Nagumo Equation
• Parameter Dependence of Propagation Speed of Travelling Waves for Competition-Diffusion Equations
• Stability of travelling wavefronts in discrete reaction–diffusion equations with nonlocal delay effects
• Uniqueness and Asymptotics of Traveling Waves of Monostable Dynamics on Lattices
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