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

作　　者：潘英翠 张存华[1] PAN Yingcui;ZHANG Cunhua(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：《滨州学院学报》2023年第4期63-68,共6页Journal of Binzhou University

基　　金：国家自然科学基金项目(61763024)。

摘　　要：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.

关 键 词：Lyapunov-Schmidt约化方法 反应扩散模型 稳定性 

分 类 号：O175[理学—数学]