The influence of autotoxicity on the dynamics of vegetation spots
DOI10.1101/2020.07.29.226522 10.1016/j.physd.2021.133015; 10.1101/2020.07.29.226522zbMath1484.35040OpenAlexW3197888599MaRDI QIDQ2077614
Annalisa Iuorio, Frits Veerman
Publication date: 21 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2021.133015
pattern formationgeometric singular perturbation theorytravelling pulsesreaction-diffusion-ODE systemsvegetation patternsautotoxicity
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Related Items
Cites Work
- Unnamed Item
- An explicit theory for pulses in two component, singularly perturbed, reaction-diffusion equations
- Negative plant soil feedback explaining ring formation in clonal plants
- Multiple time scale dynamics
- Vegetation pattern formation due to interactions between water availability and toxicity in plant-soil feedback
- Instability of Turing patterns in reaction-diffusion-ODE systems
- Planar radial spots in a three-component FitzHugh-Nagumo system
- On the origin of tiger bush
- Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion
- The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime
- Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model
- A mathematical model of plants as ecosystem engineers
- The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space
- Geometric singular perturbation theory in biological practice
- A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment
- Travelling waves for a velocity-jump model of cell migration and proliferation
- Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model II: Geometric Theory, Bifurcations, and Splitting Dynamics
- Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds
- Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity
- The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model
- Pattern solutions of the Klausmeier Model for banded vegetation in semi-arid environments I
- Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation
- The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime
- Pattern formation in the one-dimensional Gray - Scott model
- Dynamical spike solutions in a nonlocal model of pattern formation
- Striped pattern selection by advective reaction-diffusion systems: Resilience of banded vegetation on slopes
- Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems
- Spatially Periodic Multipulse Patterns in a Generalized Klausmeier--Gray--Scott Model
- Singular Perturbation Analysis of a Regularized MEMS Model
- Sharp Estimates on Minimum Travelling Wave Speed of Reaction Diffusion Systems Modelling Autocatalysis
- Traveling spike autosolitons in the Gray-Scott model