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High Quality Content by WIKIPEDIA articles! Reaction diffusion systems are mathematical models that describe how the concentration of one or more substances distributed in space changes under the influence of two processes: local chemical reactions in which the substances are converted into each other, and diffusion which causes the substances to spread out in space. As this description implies, reaction diffusion systems are naturally applied in chemistry. However, the equation can also describe dynamical processes of non-chemical nature. Examples are found in biology, geology and physics and ecology. Mathematically, reaction diffusion systems take the form of semi-linear parabolic partial differential equations. They can be represented in the general form