Bistable wave fronts in integrodifference equations
type: Item
instance of: scholarly article
title: Bistable wave fronts in integrodifference equations
zbMATH Open document ID: 1223.45008
DOI: 10.1155/2011/230851
author: Shuxia Pan
author: Pingan Zhang
published in: Abstract and Applied Analysis
publication date: 2011-09-09T00:00:00Z
review text: Summary: This paper is concerned with the bistable wave fronts of integrodifference equations. The existence, uniqueness, and asymptotic stability of bistable wave fronts for such an equation are proved by the squeezing technique based on comparison principle.
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 5946497
zbMATH Keywords: bistable wave fronts
zbMATH Keywords: integrodifference equations
zbMATH Keywords: asymptotic stability
zbMATH Keywords: squeezing technique
Wikidata QID: Q58654078
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/230851
OpenAlex ID: W2068434035
cites work: Long-Time Behavior of a Class of Biological Models
cites work: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
cites work: Analysis of linear determinacy for spread in cooperative models
cites work: Thresholds and travelling waves for the geographical spread of infection
cites work: Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations
cites work: Spreading speed and linear determinacy for two-species competition models
cites work: Existence of traveling waves for integral recursions with nonmonotone growth functions
cites work: Spreading speeds and traveling wavefronts for second order integrodifference equations
cites work: Asymptotic stability of monostable wavefronts in discrete-time integral recursions
cites work: Biological growth and spread modeled by systems of recursions. I: Mathematical theory
cites work: On spreading speeds and traveling waves for growth and migration models in a periodic habitat
cites work: Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions
cites work: Integrodifference equations, Allee effects, and invasions
cites work: Discrete-time travelling waves: Ecological examples
cites work: Travelling Waves for Mutualist Species
cites work: Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
cites work: Propagation of frontal polymerization—crystallization waves
cites work: Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay
cites work: Traveling fronts in monostable equations with nonlocal delayed effects
cites work: Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
cites work: Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
cites work: Propagation and its failure in a lattice delayed differential equation with global interaction
cites work: Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
cites work: Existence and stability of travelling wave solutions of a nonlinear integral operator
cites work: A Nonlinear Integral Operator Arising from a Model in Population Genetics III. Heterozygote Inferior Case
cites work: A Nonlinear Integral Operator Arising from a Model in Population Genetics IV. Clines
cites work: Some remarks about the wave speed and travelling wave solutions of a nonlinear integral operator
cites work: The approach of solutions of nonlinear diffusion equations to travelling front solutions
cites work: Existence, uniqueness and asymptotic stability of traveling wavefronts in a non-local delayed diffusion equation
cites work: Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach
cites work: Q4314474
description: scientific article; zbMATH DE number 5946497