Nonlinear Instability for a Volume-Filling Chemotaxis Model with Logistic Growth

doi:10.1155/2014/248657

	Nonlinear Instability for a Volume-Filling Chemotaxis Model with Logistic Growth
	Gao, Haiyan; Fu, Shengmao
	2014
发表期刊	ABSTRACT AND APPLIED ANALYSIS
摘要	This paper deals with a Neumann boundary value problem for a volume-filling chemotaxis model with logistic growth in a.. dimensional box T-d = (0, pi)(d) (d = 1, 2, 3). It is proved that given any general perturbation of magnitude delta, its nonlinear evolution is dominated by the corresponding linear dynamics along a finite number of fixed fastest growing modes, over a time period of the order ln(1/delta). Each initial perturbation certainly can behave drastically different from another, which gives rise to the richness of patterns.
DOI	10.1155/2014/248657
收录类别	SCI ; SCIE ; SCOPUS
ISSN	1085-3375
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000338938900001
出版者	HINDAWI PUBLISHING CORPORATION
原始文献类型	Article
EISSN	1687-0409
引用统计	被引频次[WOS]：0 [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/13708
专题	统计与数据科学学院
作者单位	1.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China; 2.Lanzhou Univ Finance & Econ, Sch Stat, Lanzhou 730020, Peoples R China; 3.Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
推荐引用方式 GB/T 7714	Gao, Haiyan,Fu, Shengmao. Nonlinear Instability for a Volume-Filling Chemotaxis Model with Logistic Growth[J]. ABSTRACT AND APPLIED ANALYSIS,2014.
APA	Gao, Haiyan,&Fu, Shengmao.(2014).Nonlinear Instability for a Volume-Filling Chemotaxis Model with Logistic Growth.ABSTRACT AND APPLIED ANALYSIS.
MLA	Gao, Haiyan,et al."Nonlinear Instability for a Volume-Filling Chemotaxis Model with Logistic Growth".ABSTRACT AND APPLIED ANALYSIS (2014).

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