Invasions slow down or collapse in the presence of reactive boundaries
type: Item
instance of: scholarly article
title: Invasions slow down or collapse in the presence of reactive boundaries
zbMATH Open document ID: 1378.92009
author: K. Minors
author: Jonathan H. P. Dawes
published in: Bulletin of Mathematical Biology
publication date: 2017-12-18T00:00:00Z
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 92C99
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 6819912
zbMATH Keywords: 2D FKPP equation
zbMATH Keywords: mixed boundary conditions
zbMATH Keywords: strip invasion
zbMATH Keywords: population collapse
zbMATH Keywords: critical patch size
MaRDI profile type: Publication
full work available at URL: s11538-017-0326-x
OpenAlex ID: W2741982965
Wikidata QID: Q42358587
cites work: Explicit solutions of Fisher's equation for a special wave speed
cites work: On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions
cites work: On a Nonlinear Diffusion Equation Describing Population Growth
cites work: Fast propagation for KPP equations with slowly decaying initial conditions
cites work: Travelling-waves for the FKPP equation via probabilistic arguments
cites work: Q5768532
cites work: Transient Bounds and Time-Asymptotic Behavior of Solutions to Nonlinear Equations of Fisher Type
cites work: The mathematics behind biological invasions
cites work: Spatial patterning of the spruce budworm
cites work: A numerical study of the Belousov-Zhabotinskii reaction using Galerkin finite element methods
cites work: Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Population growth and persistence in a heterogeneous environment: the role of diffusion and advection
cites work: On the transition from initial data to travelling waves in the fisher-kpp equation
cites work: Q4857318
cites work: RANDOM DISPERSAL IN THEORETICAL POPULATIONS
cites work: Front propagation into unstable states
cites work: Propagation of frontal polymerization—crystallization waves
DOI: 10.1007/S11538-017-0326-X
Recommended article: When fast diffusion and reactive growth both induce accelerating invasions
Recommended article: Reversing invasion in bistable systems
Recommended article: Accelerating invasions along an environmental gradient
Recommended article: Accelerated Fronts in a Two-Stage Invasion Process
Recommended article: Effect of environmental fluctuations on invasion fronts
Recommended article: Invasions in heterogeneous habitats in the presence of advection
Recommended article: On invasion boundaries and the unprotected coexistence of two strategies
Recommended article: Invasion pinning in a periodically fragmented habitat
Recommended article: Invasion dynamics
description: scientific article; zbMATH DE number 6819912