Linear and nonlinear diffusion

The calculation that we have completed is perhaps the simplest example dealing with pattern formation in biological systems. The classic paper in this area is due to Alan Turing (Turing 1952). An update c. 1990 is offered by Murray (1990) and updated again in Murray (2002). Maynard Smith (1968) offers a nice introduction to this material too; this was one of the first - if not the first - books on mathematical biology that I purchased; Harrison (1993) offers the perspective of a physical chemist turned biologist. The classic reference for linear population growth and diffusion is Skellam (1951); for a broader historical context, see Toft and Mangel (1991).

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