Travelling waves in an open quadralic autocatalytic chemical system coupled with the quadralic decay reaction

Theoretical model of an open quadralic autocatalytic chemical reaction syst em coupled with the quadratic decay reaction is set up. Through the kinetic s analysis, the stability of the two stationary states is found. The estima tion of the solution for the initial-value and bounds problem is establishe d, and a necessary condition for travelling waves to exist is mu greater th an or equal to phi The minimum speed of the chemical waves are given, that is c(min)=2 root delta(mu-phi). 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 de cisive element of wave patterns in the reaction-diffusion system.