兰州大学机构库 >数学与统计学院
The periodic principal eigenvalues with applications to the nonlocal dispersal logistic equation
Sun, JW; Li, WT(李万同); Wang, ZC; Li, WT (reprint author), Lanzhou Univ, Key Lab Appl Math & Complex Syst, Sch Math & Stat, Lanzhou 730000, Peoples R China.
收录类别SCIE
2017-07-15
发表期刊JOURNAL OF DIFFERENTIAL EQUATIONS
卷号263期号:2页码:934-971
出版者ELSEVIER
出版地SAN DIEGO
摘要In this paper, we study the nonlocal dispersal equation {u(t) = integral(RN) J(x-y)u(y, t)dy-u+lambda u-a(x, t)u(P) in (Omega) over bar x (0, +infinity), u(x, t) = 0 in (R-N\(Omega) over bar) x (0, +infinity), u(x, 0) = u(0)(x) in (Omega) over bar, where Omega subset of R-N is a bounded domain, lambda and p > 1 are constants. The dispersal kernel J is nonnegative. The function a is an element of C((Omega) over bar x R) is nonnegative and T-periodic in t, but a(x, t) has temporal or spatial degeneracies (a(x, t) vanishes). We first study the periodic nonlocal eigenvalue problems with parameter and establish the asymptotic behavior of principal eigenvalues when the parameter is large. We find that the spatial degeneracy of a(x, t) always guarantees a principal eigenfunction. Then we consider the dynamical behavior of the equation if a(x, t) has temporal or spatial degeneracies. Our results indicate that only the temporal degeneracy can not cause a change of the dynamical behavior, but the spatial degeneracy always causes fundamental changes, whether or not the temporal degeneracy appears. (C) 2017 Elsevier Inc. All rights reserved.
关键词Positive periodic solution Stability Principal eigenvalue Degeneracy
作者部门[Sun, Jian-Wen;
Li, Wan-Tong;
Wang, Zhi-Cheng] Lanzhou Univ, Key Lab Appl Math & Complex Syst, Sch Math & Stat, Lanzhou 730000, Peoples R China
学科领域Mathematics
所属项目编号NSF of China [11401277, 11671180, 11371179] ; FRFCU [lzujbky-2016-99, lzujbky-2016-ct12]
资助项目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
DOI10.1016/j.jde.2017.03.001
ISSN0022-0396
文章类型Article
语种英语
WOS记录号WOS:000400220400004
IR记录号WOS:000400220400004
第一机构
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文献类型期刊论文
条目标识符http://ir.lzu.edu.cn/handle/262010/190338
Collection数学与统计学院
通讯作者Li, WT (reprint author), Lanzhou Univ, Key Lab Appl Math & Complex Syst, Sch Math & Stat, Lanzhou 730000, Peoples R China.
作者单位19MATH
Recommended Citation:
GB/T 7714
Sun, JW,Li, WT,Wang, ZC,et al. The periodic principal eigenvalues with applications to the nonlocal dispersal logistic equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2017,263(2):934-971.
APA Sun, JW,Li, WT,Wang, ZC,&Li, WT .(2017).The periodic principal eigenvalues with applications to the nonlocal dispersal logistic equation.JOURNAL OF DIFFERENTIAL EQUATIONS,263(2),934-971.
MLA Sun, JW,et al."The periodic principal eigenvalues with applications to the nonlocal dispersal logistic equation".JOURNAL OF DIFFERENTIAL EQUATIONS 263.2(2017):934-971.
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