依赖密度的交叉扩散Schnakenberg模型的Turing不稳定性分析OA

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.