Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation

DOI10.1016/j.na.2005.10.042zbMath1162.34051OpenAlexW2154565150WikidataQ115343279 ScholiaQ115343279MaRDI QIDQ855471

Xingfu Zou, Shiwang Ma, Pei-xuan Weng

Publication date: 7 December 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.10.042

zbMATH Keywords

minimal wave speedasymptotic speed of propagationmonostablelattice delayed differential equationtravelling wavefront

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Applications of operator theory to differential and integral equations (47N20) Boundary value problems for functional-differential equations (34K10)

Related Items (35)

Propagation dynamics in a nonlocal delayed lattice dynamical system with bistable nonlinearity ⋮ Exponential attractors for two-dimensional nonlocal diffusion lattice systems with delay ⋮ Spatial dynamics in a non-local lattice competition model under shifting ranges ⋮ Global stability of traveling waves for non-monotone lattice differential equations with time-delay ⋮ Entire solutions in a two-dimensional nonlocal lattice dynamical system ⋮ Propagation of KPP equations with advection in one-dimensional almost periodic media and its symmetry ⋮ Asymptotic speeds of spread for a nonlocal diffusion equation ⋮ Existence and stability of traveling waves for infinite-dimensional delayed lattice differential equations ⋮ Global stability of non-monotone noncritical traveling waves for a discrete diffusion equation with a convolution type nonlinearity ⋮ Entire solutions for a discrete diffusive equation with bistable convolution type nonlinearity ⋮ Global stability of traveling wave fronts for non-local delayed lattice differential equations ⋮ Wave propagation in a two-dimensional lattice dynamical system with global interaction ⋮ Entire solutions for an inhomogeneous bistable discrete diffusive equation ⋮ Spreading speeds of nonlocal KPP equations in almost periodic media ⋮ Propagation dynamics of a discrete diffusive equation with non‐local delay ⋮ Traveling waves for an epidemic system with bilinear incidence in a periodic patchy environment ⋮ Minimal wave speed of competitive lattice dynamical systems with delays ⋮ Existence of traveling wavefronts of nonlocal delayed lattice differential equations ⋮ Monotone traveling waves of a population model with non-monotone terms ⋮ Asymptotic speed of propagation and traveling wavefronts for a lattice vector disease model ⋮ Existence of traveling wave solutions in m-dimensional delayed lattice dynamical systems with competitive quasimonotone and global interaction ⋮ Stability Investigation of Biosensor Model Based on Finite Lattice Difference Equations ⋮ Spreading speed for an epidemic model with time delay in a patchy environment ⋮ Stability of non-monotone traveling waves for a discrete diffusion equation with monostable convolution type nonlinearity ⋮ Stability of traveling wavefronts for a delayed lattice system with nonlocal interaction ⋮ Traveling waves in a nonlocal dispersal population model with age-structure ⋮ Spreading speed for a nonlocal diffusive delayed model without quasi-monotonicity ⋮ Traveling waves in delayed lattice dynamical systems with competition interactions ⋮ Asymptotic behavior and uniqueness of traveling wave fronts in a delayed nonlocal dispersal competitive system ⋮ Novel entire solutions in a nonlocal 2-D discrete periodic media for bistable dynamics ⋮ Travelling wavefronts in delayed lattice dynamical systems with global interaction ⋮ Spreading speeds of KPP-type lattice systems in heterogeneous media ⋮ Uniqueness of critical traveling waves for nonlocal lattice equations with delays ⋮ Propagation of delayed lattice differential equations without local quasimonotonicity ⋮ Monotonicity, asymptotics and uniqueness of travelling wave solution of a non-local delayed lattice dynamical system

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