Beautiful Patterns in Nature:
Gray Scott Model
F. Hecht, S.M. Kaber
The GrayScott model (two nonlinear parabolic equations) is a model of chemical reaction between two constituants. It also describes the
evolution of the population density u(x,t) of active cells at location x and the evolution of the nutrient concentration v(x,t). See the
course Growth, reaction, movement and diffusion from
biology by B. Perthame
The computation have been done using the Finite Element Solver Freefem. The movie represents the
evolution of the total population u+w, with w the density of passive cells.

