Stability of steady-state solutions to a prey–predator system with cross-diffusion☆
Stability of steady-state solutions to a prey–predator system with cross-diffusion☆
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DOI：
10.1016/j.jde.2003.10.016
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发表时间：
2004-03
影响因子：
2.4
通讯作者：
Kousuke Kuto
中科院分区：
文献类型：
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作者：
Kousuke Kuto
本文研究了食饵-捕食者种群模型中出现的交叉扩散系统。主要目的是讨论Kuto和Yamada （J. Differential Equations，待出现）得到的共存稳态解的稳定性分析。我们将给出这些共存稳态稳定性的一些判据。进一步证明了在某些条件下稳态解分支上存在Hopf分岔现象。
This paper is concerned with a cross-diffusion system arising in a prey–predator population model. The main purpose is to discuss the stability analysis for coexistence steady-state solutions obtained by Kuto and Yamada (J. Differential Equations, to appear). We will give some criteria on the stability of these coexistence steady states. Furthermore, we show that the Hopf bifurcation phenomenon occurs on the steady-state solution branch under some conditions.