Existence of traveling wave fronts of delayed lattice differential equations
From MaRDI portal
Publication:1883438
DOI10.1016/j.jmaa.2004.05.027zbMath1126.34323OpenAlexW2050765220MaRDI QIDQ1883438
Xingfu Zou, Gang Lu, Jian Hua Huang
Publication date: 12 October 2004
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.2004.05.027
Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Monotone systems involving ordinary differential equations (34C12) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
Related Items (20)
Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation ⋮ Existence of traveling wavefronts of discrete reaction-diffusion equations with delay ⋮ Traveling wave solutions in a higher dimensional lattice delayed cooperation system with nonlocal diffusion ⋮ Minimal wave speed of competitive lattice dynamical systems with delays ⋮ Existence of traveling wavefronts of nonlocal delayed lattice differential equations ⋮ Traveling wave fronts of delayed non-local diffusion systems without quasimonotonicity ⋮ Traveling wave fronts in a delayed lattice competitive system ⋮ LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation / overflow nonlinearities ⋮ Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications. ⋮ Travelling waves in delayed reaction–diffusion equations on higher dimensional lattices ⋮ Invasion waves in a higher-dimensional lattice competitive system with stage structure ⋮ Traveling waves in delayed lattice dynamical systems with competition interactions ⋮ Travelling wavefronts in delayed lattice dynamical systems with global interaction ⋮ Traveling wave fronts in a delayed population model of Daphnia magna ⋮ Minimal wave speed in a delayed lattice dynamical system with competitive nonlinearity ⋮ Existence of traveling wave solutions in nonlocal delayed higher-dimensional lattice systems with quasi-monotone nonlinearities ⋮ On qualitative analysis of lattice dynamical system of two- and three-dimensional biopixels array: bifurcations and transition to ``chaos ⋮ Existence of traveling wave solutions in a stage structured cooperative system on higher-dimensional lattices ⋮ On qualitative research of lattice dynamical system of two- and three-dimensional biopixels array ⋮ Propagation of delayed lattice differential equations without local quasimonotonicity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Traveling wavefronts for the discrete Fisher's equation
- Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory
- Some threshold results for models of myelinated nerves
- Existence of traveling wavefront solutions for the discrete Nagumo equation
- Traveling waves in lattice dynamical systems
- The global structure of traveling waves in spatially discrete dynamical systems
- On diffusive population models with toxicants and time delays
- Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
- Wave front solutions of a diffusive delay model for populations of Daphnia magna
- Spatially discrete nonlinear diffusion equations
- Computation of traveling waves for spatially discrete bistable reaction-diffusion equations
- Wavefronts for a cooperative tridiagonal system of differential equations
- Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
- Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
- Stability of Traveling Wavefronts for the Discrete Nagumo Equation
- Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
- Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction
- TRAVELING WAVES IN CELLULAR NEURAL NETWORKS
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
This page was built for publication: Existence of traveling wave fronts of delayed lattice differential equations