Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes.

摘要: For water-limited arid ecosystems, where water distribution and infiltration play a vital role, various models have been set up to explain vegetation patterning. On sloped terrains, aligned in bands has observed ubiquitously. In this paper, we consider the appearance, stability, bifurcations of 2D striped or banded patterns an ecosystem model. We numerically show that resilience is larger on steeper slopes by computing stability regions (Busse balloons) with respect 1D transverse perturbations. This corroborated numerical simulations slowly decreasing input parameter. Here, long wavelength are unstable against perturbations, which also rigorously prove flat ground through Evans function approach. addition, “Squire theorem” for class two-component reaction-advection-diffusion systems includes our model, showing onset pattern fo...