哈尔滨商业大学学报（自然科学版）2026，Vol.42Issue(1)：92-98,7.
依赖密度的交叉扩散Schnakenberg模型的Turing不稳定性分析
Analysis of Turing instability for Schnakenberg model with density-dependent cross diffusion
摘要
Abstract
In this paper,a class of Schnakenberg models with density-dependent cross-diffusion was studied,and the influence of the density-dependent cross-diffusion coefficients on the formation of Turing patterns was analyzed.Through linear stability analysis,the boundaries of the oscillatory instability region and the Turing instability region were determined.The effectsof the unidirectional and bidirectional nonlinear cross-diffusion coefficients on the formation of Turing patterns were discussed under different conditions and compared with the case of linear cross-diffusion.The results demonstrated that density-dependent cross-diffusion was more conducive to the formation of Turing patterns.关键词
斑图形成/反应扩散/交叉扩散/Turing斑图/稳定性Key words
pattern formation/reaction-diffusion/cross diffusion/Turing pattern/stability分类
数理科学引用本文复制引用
姜立爽,马淑芳..依赖密度的交叉扩散Schnakenberg模型的Turing不稳定性分析[J].哈尔滨商业大学学报（自然科学版）,2026,42(1):92-98,7.基金项目
中央高校基本科研业务费(2572018BC19) （2572018BC19）
