PATTERN GENERATION IN SPACE AND ASPECT.

Simon Asher Levin, Lee A. Segel

Research output: Contribution to journalArticle

150 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)45-67
Number of pages23
JournalSIAM Review
Volume27
Issue number1
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computational Mathematics
  • Applied Mathematics

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