Fixation in a cyclic Lotka-Volterra model

被引：56
|
作者：
Frachebourg, L
Krapivsky, PL
机构：
[1] Ecole Normale Super, Phys Stat Lab, F-75231 Paris 05, France
[2] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
[3] Boston Univ, Dept Phys, Boston, MA 02215 USA
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 15期
关键词：
D O I：
10.1088/0305-4470/31/15/001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a cyclic Lotka-Volterra model of N interacting species populating a d-dimensional lattice. In the realm of a Kirkwood approximation, a critical number of species N-c(d) above which the system fixates is determined analytically. We find N-c = 5, 14, 23 in dimensions d = 1, 2, 3, in remarkably good agreement with simulation results in two dimensions.
引用
收藏
页码：L287 / L293
页数：7
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