Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect
Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect
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DOI：
10.1016/j.jde.2015.03.006
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发表时间：
2015-08
影响因子：
2.4
通讯作者：
Shangjiang Guo
中科院分区：
文献类型：
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作者：
Shangjiang Guo
本文利用 Lyapunov-Schmidt 约简研究了具有非局部时滞效应和 Dirichlet 边界条件的反应扩散模型的空间非齐次稳态解和周期解的存在性、稳定性和多重性。此外，我们通过将其应用于具有单延迟和一维空间域的模型来说明我们的一般结果。
In this paper, the existence, stability, and multiplicity of spatially nonhomogeneous steady-state solution and periodic solutions for a reaction–diffusion model with nonlocal delay effect and Dirichlet boundary condition are investigated by using Lyapunov–Schmidt reduction. Moreover, we illustrate our general results by applications to models with a single delay and one-dimensional spatial domain.