Abstract：In this paper， the dynamics of a single population delayed reaction-diffusion model with Dirichlet boundary condition in a bounded domain is studied. The stability of spatially non-homogeneous steady-state solution at the spatial non-homogeneous steady and the existence of Hopf bifurcation of model are derived by selecting the time delay as the branching parameter and analyzing the eigenvalue problem of the model linearize-state solution.
李永花,张存华,潘英翠. 具有Dirichlet边界条件的单种群时滞反应扩散模型的稳定性和Hopf分支[J]. 华中师范大学学报(自然科学版), 2024, 58(6): 641-647.
LI Yonghua,ZHANG Cunhua,PAN Yingcui. Stability and Hopf bifurcation of a single population delayed reaction-diffusion model with Dirichlet boundary condition. journal1, 2024, 58(6): 641-647.
2024, Vol. 58 
