Stability and metastability in a chemotaxis model  

作　　者：Yimin Chen Jicheng Tao Yazhou Han Manjun Ma 

机构地区：[1]Department of Mathematics,School of Science Zhejiang Sci-Tech University,Hangzhou Zhejiang 310018,P.R.China [2]Department of Mathematics,College of Science China Jiliang University,Hangzhou Zhejiang 310018,P.R.China

出　　处：《International Journal of Biomathematics》2023年第3期147-163,共17页生物数学学报（英文版）

基　　金：Manjun Ma was supported by the National Natural Science Foundation of China(Nos.12071434 and 11671359).

摘　　要：This work studies the stability and metastability of stationary patterns in a diffusionchemotaxis model without cell proliferation.We first establish the interval of unstable wave modes of the homogeneous steady state,and show that the chemotactic flux is the key mechanism for pattern formation.Then,we treat the chemotaxis coefficient as a bifurcation parameter to obtain the asymptotic expressions of steady states.Based on this,we derive the sufficient conditions for the stability of one-step pattern,and prove the metastability of two or more step patterns.All the analytical results are demonstrated by numerical simulations.

关 键 词：Pattern formation stability and metastability chemotaxis model 

分 类 号：O17[理学—数学]