Pattern analysis in a benthic bacteria-nutrient system

摘要: We study pattern formation in a reaction-diffusion system for benthic bacteria-nutrient model marine sediment, which originally contains some spatially varying coefficients and with these shows layering of patterns. Using the Landau reduction homogeneous coefficients, we locally analyze Turing bifurcations 1D 2D. Moreover, use software pde2path to compute corresponding branches globally find number snaking patterns over This that are not necessarily due coefficients. type hexagon patches on background no prior mention literature. show first numerically calculated solution-branch, connects two different types hexagons parameter space. call states this branch rectangles. check numerically, if stability changes stripes, continued homogeneously into third dimension. stripes one have same stable range bounded 2D 3D domains, while other becomes unstable earlier. Here solutions, spatial between hexagonal prisms genuine (balls).