Turing patterns in a modified Lotka-Volterra model

被引：33
|
作者：
McGehee, EA [1 ]
Peacock-López, E [1 ]
机构：
[1] Williams Coll, Dept Chem, Williamstown, MA 01267 USA
来源：
PHYSICS LETTERS A | 2005年 / 342卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
predator-prey model; prey-dependent functional response; closure; diffusion-driven instability; Turing structures;
D O I：
10.1016/j.physleta.2005.04.098
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter we consider a modified Lotka-Volterra model widely known as the Bazykin model, which is the MacArthur-Rosenzweig (MR) model that includes a prey-dependent response function and is modified with the inclusion of intraspecies interactions. We show that a quadratic intra-prey interaction term, which is the most realistic nonlinearity, yields sufficient conditions for Turing patterns. For the Bazykin model we find the Turing region in parameter space and Turing patterns in one dimension. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：90 / 98
页数：9
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