Bifurcations in a predator-prey model in patchy environment with diffusion

被引：8
|
作者：
Aly, S [1 ]
Farkas, M [1 ]
机构：
[1] Tech Univ Budapest, Math Inst, H-1521 Budapest, Hungary
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2004年 / 5卷 / 03期
关键词：
self-diffusion; diffusive instability; pattern formation;
D O I：
10.1016/j.nonrwa.2003.11.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we formulate a predator-prey system in two patches in which the per capita migration rate of each species is influenced only by its own density, i.e. there is no response to the density of the other one. Numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation, i.e. the stable constant steady state loses its stability and spatially non-constant stationary solutions, a pattern emerge. (C) 2003 Elsevier Ltd. All rights reserved.
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页码：519 / 526
页数：8
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