Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect

作者：Guo, Shangjiang^*

来源：Journal of Differential Equations, 2015, 259(4): 1409-1448.

DOI：10.1016/j.jde.2015.03.006

• Reaction-diffusion
• Nonlocal delay effect
• Hopf bifurcation
• Stability

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.

• 出版日期2015-8-15
• 单位湖南大学