Description:

Title: Striped pattern selection by advective reaction-diffusion systems: Resilience of banded vegetation on slopes

Speaker: Eric Siero, Mathematical Institute, Leiden University

Abstract: We study a Gray-Scott type system of PDEs that models vegetation in (semi-)arid regions. Observations of stripe patterns along slope contours are widespread. For a general class of systems we perform a linear stability analysis showing that destabilization of a spatially homogeneous state occurs through perturbations in the direction of advection, leading to stripe pattern formation. Concerning stripe pattern stability we numerically study the break up into rectangles or rhombs. It is shown that an increase in slope/advection leads to an increased resilience of vegetation stripes. 

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