Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments. III: The transition between homoclinic solutions
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Publication:1935168
DOI10.1016/j.physd.2012.08.014zbMath1261.35144OpenAlexW2047562090MaRDI QIDQ1935168
Publication date: 30 January 2013
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2012.08.014
perturbation theorylimit cyclepattern formationmathematical modelhomoclinicbrousse tigréereaction-diffusion advection
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40)
Related Items (20)
When does colonisation of a semi-arid hillslope generate vegetation patterns? ⋮ Dynamic analysis of a plant-water model with spatial diffusion ⋮ Traveling Stripes in 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 ⋮ Stability and dynamic transition of vegetation model for flat arid terrains ⋮ Nonlocal interactions between vegetation induce spatial patterning ⋮ Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains ⋮ 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 ⋮ Vegetation pattern formation in seminal systems due to internal competition reaction between plants ⋮ Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments ⋮ Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal ⋮ Bifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interaction ⋮ Metastability as a coexistence mechanism in a model for dryland vegetation patterns ⋮ Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments ⋮ Regular and irregular vegetation pattern formation in semiarid regions: a study on discrete Klausmeier model ⋮ Spatial self-organisation enables species coexistence in a model for savanna ecosystems ⋮ Effects of feedback regulation on vegetation patterns in semi-arid environments ⋮ Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes ⋮ Numerical bifurcation analysis and pattern formation in a minimal reaction-diffusion model for vegetation
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