Wave propagation in a two-dimensional lattice dynamical system with global interaction
From MaRDI portal
Publication:2181281
DOI10.1016/j.jde.2020.03.041zbMath1443.34083OpenAlexW3013087027MaRDI QIDQ2181281
Publication date: 18 May 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.03.041
monotonicityasymptotic behavioruniquenesstraveling wavesglobal interaction2-d lattice dynamical system
Asymptotic theory of functional-differential equations (34K25) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Lattice functional-differential equations (34K31)
Related Items
Monotonicity of wave profiles for a bistable system on 2-D lattice ⋮ Asymptotic behaviors of forced waves for the lattice Lotka-Volterra competition system with shifting habitats ⋮ Global stability of traveling wave fronts in a two-dimensional lattice dynamical system with global interaction
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monotonicity, asymptotics and uniqueness of travelling wave solution of a non-local delayed lattice dynamical system
- Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models
- On uniqueness of semi-wavefronts
- Wave propagation for a reaction-diffusion model with a quiescent stage on a 2D spatial lattice
- 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
- Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation
- Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system
- Spreading speed and traveling wavefront of an age-structured populationdiffusing in a 2D lattice strip
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- Traveling waves in lattice dynamical systems
- The Fredholm alternative for functional-differential equations of mixed type
- The global structure of traveling waves in spatially discrete 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
- Existence and multiplicity of traveling waves in a lattice dynamical system
- Traveling wave solutions for planar lattice differential systems with applications to neural networks
- Propagation and its failure in a lattice delayed differential equation with global interaction
- Traveling waves in time periodic lattice differential equations
- Pushed traveling fronts in monostable equations with monotone delayed reaction
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
- A discrete convolution model for phase transitions
- Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
- WAVE PROPAGATION FOR MONOSTABLE 2-D LATTICE DIFFERENTIAL EQUATIONS WITH DELAY
- Asymptotics and Uniqueness of Travelling Waves for Non-Monotone Delayed Systems on 2D Lattices
- Uniqueness of traveling waves for nonlocal lattice equations
- Spreading speeds and travelling waves in a delayed population model with stage structure on a 2D spatial lattice
- Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
- Traveling Waves of Bistable Dynamics on a Lattice
- Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction
- Uniqueness of travelling waves for nonlocal monostable equations
- Uniqueness and Asymptotics of Traveling Waves of Monostable Dynamics on Lattices
