The linear and nonlinear diffusion of the competitive Lotka-Volterra model

doi:10.1016/j.na.2006.04.006

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	The linear and nonlinear diffusion of the competitive Lotka-Volterra model
	Zhang, Xin-an ; Chen, Lansun
	2007-06-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	66 期号:12 页码:2767-2776
摘要	This paper has studied the effects of linear and nonlinear diffusion of the competitive Lotka-Volterra model, and has investigated how the linear and nonlinear diffusions lead from the extinction of one species to the persistence or global asymptotic stability of all species. This research has important implications in the design of nature reserves. (c) 2006 Elsevier Ltd. All rights reserved.
关键词	nonlinear diffusion persistence coexistence extinction
DOI	10.1016/j.na.2006.04.006
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000245768000009
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4510
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Xin-an
作者单位	1.Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Xin-an,Chen, Lansun. The linear and nonlinear diffusion of the competitive Lotka-Volterra model[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2007,66(12):2767-2776.
APA	Zhang, Xin-an,&Chen, Lansun.(2007).The linear and nonlinear diffusion of the competitive Lotka-Volterra model.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,66(12),2767-2776.
MLA	Zhang, Xin-an,et al."The linear and nonlinear diffusion of the competitive Lotka-Volterra model".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 66.12(2007):2767-2776.