Asymmetric stable droplets in a fish patterning model.

Thomas Woolley (August 30, 2010)

Please install the Flash Plugin

Abstract

Soliton like structures called "stable droplets" are found to exist within a paradigm reaction diffusion model which can be used to describe the patterning in a number of fish species. It is straightforward to analyse this phenomenon in the case when two non-zero stable steady states are symmetric, however the asymmetric case is more challenging. We use a recently developed perturbation technique to investigate the weakly asymmetric case.