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

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.