# Fisher-Kolmogoroff Equation

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Consider a nonlinear partial differential equation that represents the combined effects of diffusion and logistic population growth:

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Contributed by: Brian G. Higgins and Housam Binous (November 2011)

Open content licensed under CC BY-NC-SA

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References

[1] R. A. Fisher, "The Wave of Advance of Advantageous Genes," *Ann. Eugenics,* 7, 1937 pp. 353–369.

[2] P. Grindrod, *The Theory and Application of Reaction-Diffusion Equations: Patterns and Waves*, Oxford: Clarendon Press, 1996.

[3] J. D. Murray, *Mathematical Biology I. An Introduction*, 3rd ed., New York: Springer, 2002.

[4] J. D. Murray, *Mathematical Biology II: Spatial Models and Biomedical Applications*, 3rd ed., New York: Springer, 2003.

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