Invasions slow down or collapse in the presence of reactive boundaries

DOI10.1007/s11538-017-0326-xzbMath1378.92009OpenAlexW2741982965WikidataQ42358587 ScholiaQ42358587MaRDI QIDQ1687024

K. Minors, Jonathan H. P. Dawes

Publication date: 18 December 2017

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-017-0326-x

zbMATH Keywords

mixed boundary conditionscritical patch size2D FKPP equationpopulation collapsestrip invasion

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiological, cellular and medical topics (92C99) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07)

Related Items

Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• The mathematics behind biological invasions
• Explicit solutions of Fisher's equation for a special wave speed
• Spatial patterning of the spruce budworm
• Front propagation into unstable states
• Mathematical biology. Vol. 1: An introduction.
• A numerical study of the Belousov-Zhabotinskii reaction using Galerkin finite element methods
• Fast propagation for KPP equations with slowly decaying initial conditions
• Population Growth and Persistence in a Heterogeneous Environment: the Role of Diffusion and Advection
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• Transient Bounds and Time-Asymptotic Behavior of Solutions to Nonlinear Equations of Fisher Type
• On the transition from initial data to travelling waves in the fisher-kpp equation
• Travelling-waves for the FKPP equation via probabilistic arguments
• Propagation of frontal polymerization—crystallization waves
• On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions
• On a Nonlinear Diffusion Equation Describing Population Growth
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS