Reaction-Diffusion Model

• Let Si(x,y) be density of the ith species (rabbits, trees, seeds, …)

• dSi / dt = riSi(1 - Si - SaijSj) + Di?2Si

2-D grid:

?2Si = Sx-1,y + Sx,y-1

+ Sx+1,y + Sx,y+1 - 4Sx,y

j?i

where

reaction

diffusion

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