Spatial Pattern Induced by Cross-Diffusion in a Chemostat Model with Maintenance Energy  

作　　者：LIU Qingsheng PENG Yahong 刘庆生;彭亚红(College of Science,Donghua University)

机构地区：[1]College of Science,Donghua University

出　　处：《Journal of Donghua University(English Edition)》2018年第6期469-472,共4页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China(No.11571227)

摘　　要：A chemostat model with maintenance energy and crossdiffusion is considered,and the formation of patterns is caused by the cross-diffusion. First, through linear stability analysis, the necessary conditions for the formation of the spatial patterns are given. Then numerical simulations by changing the values of crossdiffusions in the unstable domain are performed. The results showthat the cross-diffusion coefficient plays an important role in the formation of the pattern, and the different values of the crossdiffusion coefficients may lead to different types of pattern formation.A chemostat model with maintenance energy and crossdiffusion is considered,and the formation of patterns is caused by the cross-diffusion. First, through linear stability analysis, the necessary conditions for the formation of the spatial patterns are given. Then numerical simulations by changing the values of crossdiffusions in the unstable domain are performed. The results showthat the cross-diffusion coefficient plays an important role in the formation of the pattern, and the different values of the crossdiffusion coefficients may lead to different types of pattern formation.

关 键 词：PATTERN FORMATION CHEMOSTAT model CROSS-DIFFUSION TURING INSTABILITY stability 

分 类 号：O175.26[理学—数学]