Monotonicity, asymptotics and uniqueness of travelling wave solution of a non-local delayed lattice dynamical system

DOI10.3934/dcds.2015.35.5107zbMath1380.34116OpenAlexW2319408127MaRDI QIDQ255469

Zhaoquan Xu, Jiying Ma

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.5107

zbMATH Keywords

monotonicitytravelling wavesasymptoticsuniquenessdelayed lattice dynamical systemnon-local diffusion and interaction

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Boundary value problems for functional-differential equations (34K10) Lattice functional-differential equations (34K31)

Related Items (6)

Propagation dynamics in a nonlocal delayed lattice dynamical system with bistable nonlinearity ⋮ Spatial dynamics in a non-local lattice competition model under shifting ranges ⋮ Global stability of non-monotone noncritical traveling waves for a discrete diffusion equation with a convolution type nonlinearity ⋮ Wave propagation in a two-dimensional lattice dynamical system with global interaction ⋮ Monotonicity, asymptotic behaviors and uniqueness of traveling waves to a nonlocal dispersal equation modeling an age-structured population ⋮ A new uniqueness theorem of wave profiles for a 2-d bistable lattice dynamical system

Cites Work

• On uniqueness of semi-wavefronts
• On uniqueness and monotonicity of solutions of non-local reaction diffusion equation
• Traveling wavefronts for the discrete Fisher's equation
• Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
• Traveling wave solution for a lattice dynamical system with convolution type nonlinearity
• Monotonicity and uniqueness of traveling waves for a reaction-diffusion model with a quiescent stage
• Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation
• Traveling waves in lattice dynamical systems
• Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
• Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics
• Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models.
• A discrete convolution model for phase transitions
• Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
• Uniqueness of critical traveling waves for nonlocal lattice equations with delays
• Uniqueness of traveling waves for nonlocal lattice equations
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Spreading speeds and travelling waves for non-monotone time-delayed lattice equations
• On the bounded solutions of a nonlinear convolution equation
• Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction
• Uniqueness of travelling waves for nonlocal monostable equations
• On the method of moving planes and the sliding method
• Uniqueness and Asymptotics of Traveling Waves of Monostable Dynamics on Lattices

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