Lessons on Pattern Formation from Planet WATOR
Year: 2000
Type: article
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.
Source: Journal of Theoretical Biology
Authors: RICK DURRETT, SIMON LEVIN
Institutions: Cornell University, Princeton University
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,550
OpenAlex ID: W2053950115