Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments
From MaRDI portal
Publication:885354
DOI10.1016/j.tpb.2006.07.009zbMath1118.92064OpenAlexW1977031359WikidataQ39456081 ScholiaQ39456081MaRDI QIDQ885354
Gabriel J. Lord, Jonathan A. Sherratt
Publication date: 13 June 2007
Published in: Theoretical Population Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.tpb.2006.07.009
Related Items (47)
Spatially Periodic Multipulse Patterns in a Generalized Klausmeier--Gray--Scott Model ⋮ Patterned vegetation and rainfall intermittency ⋮ Pattern dynamics in a vegetation model with time delay ⋮ Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds ⋮ Instability of periodic traveling wave solutions in a modified Fitzhugh-Nagumo model for excitable media ⋮ Localised pattern formation in a 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 ⋮ Impact of parameter variability and environmental noise on the Klausmeier model of vegetation pattern formation ⋮ Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations ⋮ Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate ⋮ Stability and dynamic transition of vegetation model for flat arid terrains ⋮ Nonlocal interactions between vegetation induce spatial patterning ⋮ Unnamed Item ⋮ Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments. III: The transition between homoclinic solutions ⋮ Patterned vegetation, tipping points, and the rate of climate change ⋮ Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model ⋮ Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation ⋮ A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment ⋮ Stability of periodic traveling waves in the Aliev-Panfilov reaction-diffusion system ⋮ Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations ⋮ An integrodifference model for vegetation patterns in semi-arid environments with seasonality ⋮ Using Numerical Bifurcation Analysis to Study Pattern Formation in Mussel Beds ⋮ Self-organization and productivity in semi-arid ecosystems: implications of seasonality in rainfall ⋮ A stochastic model for water-vegetation systems and the effect of decreasing precipitation on semi-arid environments ⋮ Vegetation pattern formation in a fog-dependent ecosystem ⋮ The mean values of the Weierstrass elliptic function \(\wp\): theory and application ⋮ Vegetation pattern formation due to interactions between water availability and toxicity in plant-soil feedback ⋮ A comparison of the ``reduced losses and ``increased production models for mussel bed dynamics ⋮ Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal ⋮ Nonlinear Galerkin methods for a system of PDEs with Turing instabilities ⋮ Metastability as a coexistence mechanism in a model for dryland vegetation patterns ⋮ Analysis of spatial patterns in a vegetation model ⋮ Destabilization Mechanisms of Periodic Pulse Patterns Near a Homoclinic Limit ⋮ Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments ⋮ Numerical investigation of spatial pattern in a vegetation model with feedback function ⋮ Spatial self-organisation enables species coexistence in a model for savanna ecosystems ⋮ On an elliptic system related to desertification studies ⋮ Influence of time delay and nonlinear diffusion on herbivore outbreak ⋮ Localized outbreaks in an S-I-R model with diffusion ⋮ Effects of feedback regulation on vegetation patterns in semi-arid environments ⋮ Turing instability and coexistence in an extended Klausmeier model with nonlocal grazing ⋮ Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes ⋮ Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions ⋮ Long-distance seed dispersal affects the resilience of banded vegetation patterns in semi-deserts ⋮ Spatial dynamics of a vegetation model with uptake-diffusion feedback in an arid environment ⋮ Inhibitor-induced wavetrains and spiral waves in an extended FitzHugh-Nagumo model of nerve cell dynamics
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- On the origin of tiger bush
- Vegetation patterns along a rainfall gradient
- Some practical experience with the time integration of dissipative equations
- An analysis of vegetation stripe formation in semi-arid landscapes
- VODE: A Variable-Coefficient ODE Solver
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
This page was built for publication: Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments