The existence of traveling wave fronts for a reaction-diffusion system modelling the acidic nitrate-ferroin reaction
We investigate the existence of traveling wave solutions to the onedimensional reaction-diffusion system ut = δuxx − 2uv/(β + u), vt = vxx + uv/(β + u), which describes 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. We show that this system has a unique, up to translation, traveling wave solution with speed c iff c ≥ 2/ √ β + 1.