Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition

讲座时间 Datetime: 2021年9月17日 ，星期五， 19:30-20:30

地点 Venue: 腾讯会议 311 103 245

报告人 Speaker:  郭上江 教授

单位 Affiliation: 中国地质大学

报告摘要 Abstract:

In this talk, the existence, stability, and multiplicity of steady-state solutions and periodic solutions for a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition are investigated by using Lyapunov-Schmidt reduction. When the interior reaction term is weaker than the boundary reaction term, it is found that there is no Hopf bifurcation no matter how either of the interior reaction delay and the boundary reaction delay changes. When the interior reaction term is stronger than the boundary reaction term, it is the interior reaction delay instead of the boundary reaction delay that determines the existence of Hopf bifurcation. Moreover, the general results are illustrated by applications to models with either a single delay or bistable boundary condition.