FitzHugh-Nagumo (FHN) model is a famous Reaction-Diffusion System which first introduced for the conduction of electrical impulses along a nerve fiber. This model is also considered as an abstract model for pattern formation. Here, we have used the Cellular Automata method to simulate the pattern formation of the FHN model. It is shown that the pattern of this model is very similar to those...

Cross-diffusion is one of the most important factors affecting formation and transition Turing patterns in reaction diffusion systems. In this paper, cross-diffusion introduced into a Brusselator model to investigate effects directivity density-dependence on pattern transition. space obtained by standard linear stability analysis, amplitude equations are derived based weakly nonlinear method, w...