SLEP Method to the Stability of Singularly Perturbed Solutions with Multiple Internal Transition Layers in Reaction-Diffusion Systems

Abstract

Patterns with sharp transition layers appear in various fields such as patchiness and segregation in eco-systems [2], [9], travelling and standing waves in excitable media or chemical reactions [1], [21], [3] and [12], striking patterns in morphogenesis models [7], and so on.