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

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

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, vegetation aligned in bands has been observed ubiquitously. In this paper, we consider the appearance, stability, and bifurcations of 2D striped or banded patterns in an arid ecosystem model. We numerically show tha...

Pattern formation in reaction-diffusion and reaction-diffusion-convection systems

Pattern Formation by Reaction-diffusion

PROBLEM DEFINITION In biology, embryological development of the structure of an organism or limb is referred to as morphogenesis. As a result of morphogenesis, complex shapes and patterns can form starting from just a single cell. Two main mechanisms that contribute to the embryo’s development are cell movement and cell specialization based on cell position. These mechanisms are influenced by s...

Striped and Spotted Pattern Generation on Reaction-diffusion Cellular Automata - Theory and LSI Implementation

A novel reaction-diffusion cellular-automaton model that generates Turing-like spatial patterns is proposed. The model employs linear diffusion fields of activators and inhibitors and a discrete transition rule after diffusion. Theoretical analysis of the one dimensional model proved that i) spatial distribution given by a periodic square function is stable at the equilibrium and ii) the spatia...

Pattern formation mechanisms in reaction-diffusion systems.

In systems undergoing chemical reaction and diffusion, a remarkable variety of spatially structured patterns, stationary or moving, local or global, can arise, many of them reminiscent of forms and phenomena seen in living systems. Chemical systems offer the advantage that one can often control the parameters that determine the patterns formed and can thereby probe fundamental issues about patt...