具有对流项的单种群时滞反应扩散模型的稳定性和Hopf分支  

Stability and Hopf Bifurcation of a Single Population Delayed Reaction Diffusion Model with Convection Term

作　　者：潘英翠 张存华[1] 李永花 PAN Ying-cui;ZHANG Cun-Hua;LI Yong-hua(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《兰州文理学院学报（自然科学版）》2024年第1期24-29,共6页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金项目(61763024)。

摘　　要：考虑了Dirichlet边界条件下具有对流项的单种群时滞反应扩散模型.通过分析模型在空间非齐次稳态解处线性化模型的特征值问题,获得了模型空间非齐次稳态解的稳定性以及Hopf分支的存在性.In this paper,a single population delayed reaction diffusion model with convection term and Dirichlet boundary conditions is considered.By analyzing the eigenvalue problem of the model linearized at the nonhomogeneous steady-state solution of the model space,the stability of the nonhomogeneous steady-state solution of the model space and the existence of Hopf bifurcation are obtained.

关 键 词：时滞反应扩散模型 特征值 稳定性 HOPF分支 

分 类 号：O175[理学—数学]