具有对流项的单种群时滞反应扩散模型的稳定性

Stability of Single-population Time-delayed Reaction-diffusion Models with Advection Terms

采用Lyapunov-Schmidt约化方法建立单种群模型正稳态的存在性和多重性,通过无穷小生成元Aτ,λ的特征值分布,获得了关于空间非齐次稳态解的稳定性。

Lyapunov-Schmidt reduction method is used to establish the existence and multiplicity of the positive steady state for a single population model.By studying the eigenvalue distribution of infinitesimal generators Aτ,λ,the stability of the solution with respect to spatially in homogeneous steady states is obtained.