南方科技大学知识苑(SUSTech KC): EXISTENCE OF MONOTONE POSITIVE SOLUTIONS OF A NEIGHBOUR BASED CHEMOTAXIS MODEL AND AGGREGATION PHENOMENON

题名	EXISTENCE OF MONOTONE POSITIVE SOLUTIONS OF A NEIGHBOUR BASED CHEMOTAXIS MODEL AND AGGREGATION PHENOMENON
作者	Xu, Xin1,2
通讯作者	Xu, Xin
发表日期	2020-06
DOI	10.3934/cpaa.2020195
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 影响因子和分区
ISSN	1534-0392
EISSN	1553-5258
卷号	19 期号:9页码:4327-4348
摘要	Using bifurcation theory, we prove the existence of spiky steady states and investigate the stability of bifurcating solutions of the one-dimensional continuous neighbour based chemotaxis model, in which the one-step jumping probability rate of cells is determined only by the chemoattractant concentration at the destination. These spiky steady states are crucial when we model cell aggregation, the most important phenomenon in chemotaxis.
关键词	Chemotaxis neighbour based spiky steady states bifurcation existence
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	通讯
资助项目	Macao S.A.R.[NSFC-11671190][NNSFC11571390] ; [FDCT 038/2017/A1]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000542178000005
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：0
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/140681
专题	理学院_数学系工学院_材料科学与工程系
作者单位	1.Univ Macau, Fac Sci & Technol, Macau, Peoples R China 2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
第一作者单位	数学系
通讯作者单位	数学系
推荐引用方式 GB/T 7714	Xu, Xin. EXISTENCE OF MONOTONE POSITIVE SOLUTIONS OF A NEIGHBOUR BASED CHEMOTAXIS MODEL AND AGGREGATION PHENOMENON[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2020,19(9):4327-4348.
APA	Xu, Xin.(2020).EXISTENCE OF MONOTONE POSITIVE SOLUTIONS OF A NEIGHBOUR BASED CHEMOTAXIS MODEL AND AGGREGATION PHENOMENON.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,19(9),4327-4348.
MLA	Xu, Xin."EXISTENCE OF MONOTONE POSITIVE SOLUTIONS OF A NEIGHBOUR BASED CHEMOTAXIS MODEL AND AGGREGATION PHENOMENON".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 19.9(2020):4327-4348.