The Gray-Scott model is a simple model of auotcatalytic behavior in a chemical system. The main analysis of this report focuses on the behavior of the system as a single parameter is varied. We shall look at the solutions of the equation looking for stable limit points, and try to determine bifurcation points (if any). We will then direct our attention to the Hopf points of the system, and how the variation of the parameter affects those points.

Ethan Deneault (eand@wpi.edu)