Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
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均匀扩散捕食者-被捕食者系统中的分叉和时空模式
DOI：
10.1016/j.jde.2008.10.024
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发表时间：
2009-03-01
影响因子：
2.4
通讯作者：
Shi, Junping
中科院分区：
文献类型：
--
作者：
Yi, Fengqi;Wei, Junjie;Shi, Junping
研究了一类具有Holling-II型捕食者功能性反应的具有Neumann边界条件的扩散捕食-食饵系统。对系统进行了详细的Hopf和稳态分叉分析。特别地，我们证明了当系统参数都是空间齐次时，存在多个空间非齐次周期轨道。我们的结果和全局分支理论也表明空间非齐次周期轨道和定态解的环的存在。这些结果为数值模拟发现的复杂时空动力学提供了理论依据。(C)2008 Elsevier Inc.保留所有权利。
A diffusive predator-prey system with Holling type-II predator functional response subject to Neumann boundary conditions is considered. Hopf and steady state bifurcation analysis are carried out in details. In particular we show the existence of multiple spatially non-homogeneous periodic orbits while the system parameters are all spatially homogeneous. Our results and global bifurcation theory also suggest the existence of loops of spatially non-homogeneous periodic orbits and steady state solutions. These results provide theoretical evidences to the complex spatiotemporal dynamics found by numerical simulation. (c) 2008 Elsevier Inc. All rights reserved.