期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 196, 期 1-2, 页码 172-192出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2004.05.007
关键词
elliptic system; prey-predator model; diffusion; stationary patterns
We study a reaction diffusion system arising from a three-species prey-predator model with prey-dependent and ratio-dependent functional responses. The main aim of this paper is to study the global existence and bifurcation of non-constant positive steady-states. In particular, we will show that even though the unique positive constant steady-state is stable for the ODE dynamics, non-constant positive steady-states exist for the reaction diffusion system. This demonstrates that stationary patterns arise as a result of diffusion. (C) 2004 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据