Lessons on pattern formation from planet WATOR

Rick Durrett, Simon Asher Levin

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

It is well known that if reacting species experience unequal diffusion rates, then dynamics that lead to a constant steady state in a 'well-mixed' environment can in a spatial setting lead to interesting patterns. In this paper, we focus on complementary pattern formation mechanisms that operate even when the diffusion rates are equal. In particular, we can say that when the mean-field ODE has an attracting periodic orbit then the stochastic spatial model will have large-scale spatial structures in equilibrium. We explore this mechanism in depth through the dynamics of the simulator WATOR. (C) 2000 Academic Press.

Original languageEnglish (US)
Pages (from-to)201-214
Number of pages14
JournalJournal of Theoretical Biology
Volume205
Issue number2
DOIs
StatePublished - Jul 21 2000

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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