Lessons on pattern formation from planet WATOR.
Journal Article (Journal Article)
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.
Full Text
Duke Authors
Cited Authors
- Durrett, R; Levin, S
Published Date
- July 2000
Published In
Volume / Issue
- 205 / 2
Start / End Page
- 201 - 214
PubMed ID
- 10873432
Electronic International Standard Serial Number (EISSN)
- 1095-8541
International Standard Serial Number (ISSN)
- 0022-5193
Digital Object Identifier (DOI)
- 10.1006/jtbi.2000.2061
Language
- eng