Striped pattern selection by advective reaction-diffusion systems: Resilience of banded vegetation on slopes
From MaRDI portal
Publication:4591644
DOI10.1063/1.4914450zbMath1374.92167OpenAlexW2001503165WikidataQ39275737 ScholiaQ39275737MaRDI QIDQ4591644
Koen Siteur, Jens D. M. Rademacher, M. B. Eppinga, Max Rietkerk, Arjen Doelman, Eric Siero
Publication date: 17 November 2017
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1887/48314
Related Items
Spatially Periodic Multipulse Patterns in a Generalized Klausmeier--Gray--Scott Model, The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation, When does colonisation of a semi-arid hillslope generate vegetation patterns?, Dynamic analysis of a plant-water model with spatial diffusion, Advection and autocatalysis as organizing principles for banded vegetation patterns, Impact of parameter variability and environmental noise on the Klausmeier model of vegetation pattern formation, Traveling Stripes in the Klausmeier Model of Vegetation Pattern Formation, Pattern Size in Gaussian Fields from Spinodal Decomposition, Dynamics of patchy vegetation patterns in the two-dimensional generalized Klausmeier model, Large amplitude radially symmetric spots and gaps in a dryland ecosystem model, Patterned vegetation, tipping points, and the rate of climate change, Periodic Traveling Waves Generated by Invasion in Cyclic Predator--Prey Systems: The Effect of Unequal Dispersal, A Pulsed-Precipitation Model of Dryland Vegetation Pattern Formation, Stability and pattern formation in a general class of reaction-diffusion-advection system, Pattern formation in mesic savannas, Wavetrain Solutions of a Reaction-Diffusion-Advection Model of Mussel-Algae Interaction, An integrodifference model for vegetation patterns in semi-arid environments with seasonality, Using Numerical Bifurcation Analysis to Study Pattern Formation in Mussel Beds, A numerical bifurcation analysis of a dryland vegetation model, The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space, Multistability in Ecosystems: Concerns and Opportunities for Ecosystem Function in Variable Environments, Large scale patterns in mussel beds: stripes or spots?, A comparison of the ``reduced losses and ``increased production models for mussel bed dynamics, Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications, Nonlocal grazing in patterned ecosystems, Destabilization Mechanisms of Periodic Pulse Patterns Near a Homoclinic Limit, Travelling wave solutions for fully discrete FitzHugh-Nagumo type equations with infinite-range interactions, Spot patterns of the Schnakenberg reaction–diffusion system on a curved torus, Analytical and numerical bifurcation analysis of a forest ecosystem model with human interaction, Model of pattern formation in marsh ecosystems with nonlocal interactions, Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems, Analysis of Spot Patterns on a Coordinate-Invariant Model for Vegetation on a Curved Terrain, Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains, Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes, The influence of autotoxicity on the dynamics of vegetation spots, Spatially localized structures in the Gray–Scott model, Stabilizing a homoclinic stripe, Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model, Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction-diffusion equations, Numerical bifurcation analysis and pattern formation in a minimal reaction-diffusion model for vegetation, Resolving soil and surface water flux as drivers of pattern formation in Turing models of dryland vegetation: a unified approach
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Hopf dances near the tips of Busse balloons
- Periodic differential operators
- Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems
- Symmetries and pattern selection in Rayleigh-Bénard convection
- The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime
- Spatio-temporal structures in a differential flow reactor with cubic autocatalator kinetics
- Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach
- On the structure of the spectra of periodic travelling waves
- Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model
- Computing absolute and essential spectra using continuation
- An analysis of vegetation stripe formation in semi-arid landscapes
- Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics
- Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability
- Large stable pulse solutions in reaction-diffusion equations
- A stability index analysis of 1-D patterns of the Gray-Scott model
- Pattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments V: The Transition from Patterns to Desert
- Quasi-Linear Parabolic Reaction-Diffusion Systems: A User's Guide to Well-Posedness, Spectra, and Stability of Travelling Waves
- pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
- The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model
- Pattern Formation
- The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime
- Zigzag and Breakup Instabilities of Stripes and Rings in the Two‐Dimensional Gray–Scott Model
- Pattern formation in the one-dimensional Gray - Scott model
- Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations
- The development of spatial structure in an ionic chemical system induced by applied electric fields
- Homoclinic Stripe Patterns
- Phase differences in reaction-diffusion-advection systems and applications to morphogenesis
- Extended Squire’s transformation and its consequences for transient growth in a confined shear flow
- Spatially Periodic Multipulse Patterns in a Generalized Klausmeier--Gray--Scott Model
- The Stability of a Stripe for the Gierer--Meinhardt Model and the Effect of Saturation
- The Slow Dynamics of Two-Spike Solutions for the Gray--Scott and Gierer--Meinhardt Systems: Competition and Oscillatory Instabilities
- Stability of spatially periodic pulse patterns in a class of singularly perturbed reaction-diffusion equations