Levin, Simon A.; Segel, Lee A. Pattern generation in space and aspect. (English) Zbl 0576.92008 SIAM Rev. 27, 45-67 (1985). Summary: A survey is presented of theories for the generation and maintenance of spatial pattern in reaction-diffusion equations and their generalizations. Applications are selected from the biological sciences and physical chemistry. Special emphasis is placed on nonlocal interaction, as manifested by the inclusion of terms involving higher derivatives or integrals. It is stressed that traditional ideas of spatial pattern generation can usefully be extended to the study of pattern in general descriptive (”aspect”) variables, particularly in understanding ecological diversity and heterogeneity. Cited in 43 Documents MSC: 92B05 General biology and biomathematics 92D40 Ecology 80A30 Chemical kinetics in thermodynamics and heat transfer 92Exx Chemistry 92Cxx Physiological, cellular and medical topics Keywords:survey; reaction-diffusion equations; physical chemistry; nonlocal interaction; spatial pattern generation PDFBibTeX XMLCite \textit{S. A. Levin} and \textit{L. A. Segel}, SIAM Rev. 27, 45--67 (1985; Zbl 0576.92008) Full Text: DOI