We consider the reaction-diffusion system ut=δuxx−2uv/(β+u), vt=vxx+uv/(β+u), which is used to model the acidic nitrate-ferroin reaction. Here β is a positive constant, u and v represent the concentrations of the ferroin and acidic nitrate respectively, and δ denotes the ratio of the diffusion rates. The existence of travelling waves for this system is known. Using energy functionals, we provide a stability analysis of travelling waves.
Discrete and Continuous Dynamical Systems - Series A,33(9),4041-4069