吸引-排斥情形下 Keller-Segel 模型的不稳定性

摘要

We mainly studied the instability of homogeneous steady-state solution to the attractive-repulsive Keller-Segel model arising chemotaxis.We firstly linearized the system and argued the finite dimensional system including only one parameter.Finally,we proved the sufficient conditions for destabilization using the theory of non-negative matrix and graph.%考虑源于趋化性的吸引-排斥情形下 Keller-Segel 模型的稳态问题。先将系统线性化，研究仅含一个参数的有限维特征值问题；再利用非负矩阵和图论的相关理论证明齐次定态解的存在性和不稳定性的充分条件。