Pattern formation for a nonlinear diffusion chemotaxis model with logistic source

doi:10.1186/s13661-018-0976-0

	Pattern formation for a nonlinear diffusion chemotaxis model with logistic source
	Niu, Chengying; Gao, Haiyan; Xu, Shenghu ; Yang, Guohua
	2018-04-20
发表期刊	BOUNDARY VALUE PROBLEMS
摘要	This paper deals with a Neumann boundary value problem in a d-dimensional box T-d = (0, pi)(d) (d = 1, 2, 3) for a nonlinear diffusion chemotaxis model with logistic source. By using the embedding theorem, the higher-order energy estimates and bootstrap arguments, the condition of chemotaxis-driven instability and the nonlinear evolution near an unstable positive constant equilibrium for this chemotaxis model are proved. Our result provides a quantitative characterization for early spatial pattern formation on the positive constant equilibrium. Finally, numerical simulations are carried out to support our theoretical nonlinear instability results.
关键词	Chemotaxis Nonlinear diffusion Pattern formation Nonlinear instability
DOI	10.1186/s13661-018-0976-0
收录类别	SCI ; SCOPUS ; SCIE
ISSN	1687-2770
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000430613400001
出版者	SPRINGEROPEN
原始文献类型	Article
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/11430
专题	统计与数据科学学院
作者单位	1.Fuzhou Univ, Sch Econ & Management, Fuzhou, Fujian, Peoples R China; 2.Lanzhou Univ Finance & Econ, Sch Stat, Lanzhou, Gansu, Peoples R China; 3.Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang, Peoples R China; 4.Gansu Polytech Coll Anim Husb Engn, Dept Econ Trade & Humanities, Wuwei, Peoples R China
推荐引用方式 GB/T 7714	Niu, Chengying,Gao, Haiyan,Xu, Shenghu,et al. Pattern formation for a nonlinear diffusion chemotaxis model with logistic source[J]. BOUNDARY VALUE PROBLEMS,2018.
APA	Niu, Chengying,Gao, Haiyan,Xu, Shenghu,&Yang, Guohua.(2018).Pattern formation for a nonlinear diffusion chemotaxis model with logistic source.BOUNDARY VALUE PROBLEMS.
MLA	Niu, Chengying,et al."Pattern formation for a nonlinear diffusion chemotaxis model with logistic source".BOUNDARY VALUE PROBLEMS (2018).

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