Abstract: Theoretical model of an open quadralic autocatalytic chemical reaction system coupled with the quadratic decay reaction is set up. Through the kinetics analysis, the stability of the two stationary states is found. The estimation of the solution for the initial value and bounds problem is established, and a necessary condition for travelling waves to exist is μ≥φ . The minimum speed of the chemical waves are given, that is c_min=2 δ(μ-φ) . The effect of open quadralic decay reaction on the patterns of the chemical waves is also given. With the increase of the decay parameter, the quadratic decay reaction become progressively a decisive element of wave patterns in the reaction diffusion system.

Key words: Open system, Autocatalysis, Chemical waves, Reaction diffusion equation