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

Diffusion and Fick's Law, a nice introductory video from the Stem concept videos from MIT and STUD.

MIT course on random walks and diffusion

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.

Spatial Ecology and Evolution, course held at the III Southern Summer School on Mathematical Biology

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 links to relevant papers on pattern generation by reaction-diffusion equations.

Diffusion and home range parameters from rodent population measurements in Panama. Giuggioli et al. (2005). Bulletin of Mathematical Biology.

Fonseca CR, Coutinho RM, Azevedo F, Berbert JM, Corso G, Kraenkel RA (2013) Modeling Habitat Split: Landscape and Life History Traits Determine Amphibian Extinction Thresholds. PLoS ONE 8(6): e66806.

Law, R., Murrell, D. J., & Dieckmann, U. (2003). Population growth in space and time: spatial logistic equations. Ecology, 84(1), 252-262.

Maciel, G.A. and Lutscher, F. (2013). How individual movement response to habitat edges affects population persistence and spatial spread. The American Naturalist, 182(1), pp.42-52. "Outstanding Ecological Theory Paper" awarded by the Ecological Society of America.