Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications.
type: Item
instance of: scholarly article
title: Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications.
DOI: 10.21136/AM.2021.0159-19
author: Yanli He
author: Kun Li
published in: Applications of Mathematics
publication date: 2021-09-16T00:00:00Z
Mathematics Subject Classification ID: 37L60
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 7396171
zbMATH Keywords: higher dimensional lattice
zbMATH Keywords: traveling wave solution
zbMATH Keywords: delay
zbMATH Keywords: upper and lower solutions
MaRDI profile type: Publication
cites work: Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
cites work: Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
cites work: Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics
cites work: Traveling waves connecting equilibrium and periodic orbit for a delayed population model on a two-dimensional spatial lattice
cites work: Traveling waves in lattice dynamical systems
cites work: Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system
cites work: Traveling wave front for a two-component lattice dynamical system arising in competition models
cites work: Wavefronts for a cooperative tridiagonal system of differential equations
cites work: Traveling wave solutions in delayed lattice differential equations with partial monotonicity
cites work: Existence of traveling wave fronts of delayed lattice differential equations
cites work: Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
cites work: Traveling wave fronts in a delayed lattice competitive system
cites work: Traveling wave solutions in a delayed lattice competition-cooperation system
cites work: Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
cites work: Traveling waves in delayed lattice dynamical systems with competition interactions
cites work: The Fredholm alternative for functional-differential equations of mixed type
cites work: The global structure of traveling waves in spatially discrete dynamical systems
cites work: Spreading speed and traveling wavefront of an age-structured populationdiffusing in a 2D lattice strip
cites work: Travelling waves in delayed reaction–diffusion equations on higher dimensional lattices
cites work: Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
cites work: Nonlinear stability of wavefronts for a delayed stage-structured population model on a 2-D lattice
cites work: Q5409381
cites work: Wave propagation for a reaction-diffusion model with a quiescent stage on a 2D spatial lattice
cites work: Stability of Traveling Wavefronts for the Discrete Nagumo Equation
cites work: Existence of traveling wavefront solutions for the discrete Nagumo equation
cites work: Traveling wavefronts for the discrete Fisher's equation
cites work: Q4230773
cites work: Q4243821
full work available at URL: am.2021.0159-19
OpenAlex ID: W3162398145
description: scientific article; zbMATH DE number 7396171