Year: 2025
Author: Xiangsheng Deng, Shangjiang Guo
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 680–703
Abstract
In this paper, we investigate the existence and stability of steady-state and periodic solutions for a heterogeneous diffusive model with spatial memory and nonlinear boundary conditions, employing Lyapunov-Schmidt reduction and eigenvalue theory. Our findings reveal that when the interior reaction term is weaker than the boundary reaction term, no Hopf bifurcation occurs regardless of time delay. Conversely, when the interior reaction term is stronger than the boundary reaction term, the presence of Hopf bifurcation is determined by the spatial memory delay.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.680
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 680–703
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Spatial memory stability Hopf bifurcation nonlinear boundary condition.