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兰州大学机构库  > 数学与统计学院  > 期刊论文
题名: A NONLOCAL DISPERSAL LOGISTIC EQUATION WITH SPATIAL DEGENERACY
作者: Sun, JW; Li, WT(李万同); Wang, ZC(王智诚)
收录类别: SCIE
出版日期: 2015-07
刊名: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
卷号: 35, 期号:7, 页码:3217-3238
英文摘要: In this paper, we study the nonlocal dispersal Logistic equation {u(t) = Du + lambda m(x)u - c(x)u(p) in Omega x (0, +infinity), u(x, 0) - u(0)(x) >= 0 in Omega, where Omega subset of R-N is a bounded domain, lambda > 0 and p > 1 are constants. Du(x, t) = integral(Omega)J(x y)(u(y, t) u(x, t))dy represents the nonlocal dispersal operator with continuous and nonnegative dispersal kernel J, m is an element of C((Omega) over bar) and may change sign in Omega. The function c is nonnegative and has a degeneracy in some subdomain of Omega. We establish the existence and uniqueness of positive stationary solution and also consider the effect of degeneracy of c on the long-time behavior of positive solutions. Our results reveal that the necessary condition to guarantee a positive stationary solution and the asymptotic behaviour of solutions are quite different from those of the corresponding reaction-diffusion equation.
关键词: Nonlocal dispersal ; stationary solution ; existence and uniqueness ; principal eigenvalue ; asymptotic behavior
作者部门: [Sun, Jian-Wen ; Li, Wan-Tong ; Wang, Zhi-Cheng] Lanzhou Univ, Sch Math & Stat, Key Lab Appl Math & Complex Syst, Lanzhou 730000, Gansu, Peoples R China
通讯作者: Sun, JW (reprint author), Lanzhou Univ, Sch Math & Stat, Key Lab Appl Math & Complex Syst, Lanzhou 730000, Gansu, Peoples R China.
学科分类: Mathematics
文章类型: Article
所属项目编号: NSF of China [11401277, 11271172, 11371179] ; FRFCU [lzujbky-2014-23, lzujbky-2011-k27]
所属项目名称: 国家自然科学基金项目 ; 中央高校基本科研业务费专项资金
项目资助者: NSFC ; LZU
语种: 英语
DOI: 10.3934/dcds.2015.35.3217
ISSN号: 1078-0947
WOS记录号: WOS:000349678500020
Citation statistics:
内容类型: 期刊论文
URI标识: http://ir.lzu.edu.cn/handle/262010/118984
Appears in Collections:数学与统计学院_期刊论文

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