Lessons on pattern formation from planet WATOR

Rick Durrett, Simon Asher Levin

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


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
Issue number2
StatePublished - Jul 21 2000

All Science Journal Classification (ASJC) codes

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


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