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2016:courses:kraenkel:spatial_ecology

Spatial Ecology - additional resources

Lecture

Tutorial

Sample notebook on integrating numerically the Fisher-Kolmogorov equation in 1 dimension:

The Fisher-Kolmogorov equation,

Read more

  • J.D. Murray: Mathematical Biology I & II (Springer, 2002)
  • N.F. Britton: Essential Mathematical Biology ( Springer, 2003).
  • R.S. Cantrell & C. Cosner: Spatial Ecology via Reaction-Diffusion Equations (Wiley, 2003).
  • A. Okubo & S.A. Levin: Diffusion and Ecological Problems (Springer, 2001).
  • P. Turchin: Quantitative Analysis of Movement (Sinauer, 1998)
  • Skellam, J.G., 1951. Random dispersal in theoretical populations. Biometrika, 38: 196-218.

Pattern formation by reaction-diffusion

  • Reaction-diffusion tutorial: nice introduction with videos
  • Gray-Scott model: great site with codes, theory and results of a simple chemical reaction-diffusion that generates very complicated patterns. Also link to relevant paper on pattern generation by reaction-diffusion equations.

Cases

Wigner on unreasonable efectiveness of math

2016/courses/kraenkel/spatial_ecology.txt · Last modified: 2024/01/09 18:45 by 127.0.0.1