Stability and bifurcations in a nonlocal delayed reaction-diffusion population model
Stability and bifurcations in a nonlocal delayed reaction-diffusion population model
复制标题
非局部延迟反应扩散群体模型的稳定性和分岔
DOI：
10.1016/j.jde.2015.08.038
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发表时间：
2016
影响因子：
2.4
通讯作者：
Yu Jianshe
中科院分区：
文献类型：
--
作者：
Chen Shanshan;Yu Jianshe
研究了一类具Dirichlet边界条件的非局部时滞反应扩散方程。结果表明，一个正的空间非齐次平衡点从平凡平衡点分叉。研究了分岔正平衡点的稳定性/不稳定性以及相应的Hopf分岔，为我们提供了一个完整的动力学模型。
A nonlocal delayed reaction–diffusion equation with Dirichlet boundary condition is considered in this paper. It is shown that a positive spatially nonhomogeneous equilibrium bifurcates from the trivial equilibrium. The stability/instability of the bifurcated positive equilibrium and associated Hopf bifurcation are investigated, providing us with a complete picture of the dynamics.