Populations facing a nonlinear environmental gradient: Steady states and pulsating fronts
type: Item
instance of: scholarly article
title: Populations facing a nonlinear environmental gradient: Steady states and pulsating fronts
zbMATH Open document ID: 1486.35112
DOI: 10.1142/S0218202522500063
author: Matthieu Alfaro
author: Gwenaël Peltier
publication date: 2022-04-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/2101.08078
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 92D15
zbMATH DE Number: 7504746
zbMATH Keywords: structured population
zbMATH Keywords: nonlocal reaction-diffusion equation
zbMATH Keywords: steady states
zbMATH Keywords: pulsating fronts
zbMATH Keywords: perturbation techniques
MaRDI profile type: Publication
arXiv ID: 2101.08078
cites work: The Effect of Climate Shift on a Species Submitted to Dispersion, Evolution, Growth, and Nonlocal Competition
cites work: Rapid traveling waves in the nonlocal Fisher equation connect two unstable states
cites work: Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait
cites work: Pulsating fronts for Fisher-KPP systems with mutations as models in evolutionary epidemiology
cites work: Evolutionary branching via replicator-mutator equations
cites work: Q4089232
cites work: Multidimensional nonlinear diffusion arising in population genetics
cites work: Existence of pulsating waves of advection-reaction-diffusion equations of ignition type by a new method
cites work: Front propagation in periodic excitable media
cites work: Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
cites work: Propagation in a non local reaction diffusion equation with spatial and genetic trait structure
cites work: The non-local Fisher–KPP equation: travelling waves and steady states
cites work: Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
cites work: Propagation in a kinetic reaction-transport equation: travelling waves and accelerating fronts
cites work: Super-linear spreading in local and non-local cane toads equations
cites work: Existence of pulsating waves in a model of flames in sprays
cites work: Traveling Waves of a Kinetic Transport Model for the KPP-Fisher Equation
cites work: Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat
cites work: The approach of solutions of nonlinear diffusion equations to travelling front solutions
cites work: Accelerating Solutions in Integro-Differential Equations
cites work: Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity
cites work: Fast propagation for KPP equations with slowly decaying initial conditions
cites work: Uniqueness and stability properties of monostable pulsating fronts
cites work: On the nonlocal Fisher–KPP equation: steady states, spreading speed and global bounds
cites work: Pulsating Fronts in a 2D Reactive Boussinesq System
cites work: Q4869155
cites work: Q5768532
cites work: Dynamics of sexual populations structured by a space variable and a phenotypical trait
cites work: Accelerating invasions along an environmental gradient
cites work: Traveling periodic waves in heterogeneous environments
cites work: Elliptic Partial Differential Equations
cites work: On spreading speeds and traveling waves for growth and migration models in a periodic habitat
cites work: Front Propagation in Heterogeneous Media
cites work: Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media
cites work: Existence and stability of traveling waves in periodic media governed by a bistable nonlinearity
cites work: Q3706042
published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences
description: scientific article; zbMATH DE number 7504746