The principal eigenvalue for periodic nonlocal dispersal systems with time delay

被引：23

作者：

Liang, Xing ^{[1
,2
]}

Zhang, Lei ^{[3
]}

Zhao, Xiao-Qiang ^{[4
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[2] Univ Sci & Technol China, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China

[3] Harbin Inst Technol, Dept Math, Weihai 264209, Shandong, Peoples R China

[4] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 04期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Principal eigenvalue; Periodic systems; Time delay; Nonlocal dispersal; SPREADING SPEEDS; OPERATORS; EQUATIONS; EXISTENCE; CRITERIA;

D O I：

10.1016/j.jde.2018.08.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The theory of the principal eigenvalue is established for the eigenvalue problem associated with a linear time-periodic nonlocal dispersal cooperative system with time delay. Then we apply it to a Nicholson's blowflies population model and obtain a threshold type result on its global dynamics. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：2100 / 2124

页数：25

共 39 条

[1]

[Anonymous], 1999, GENETICAL THEORY NAT

[2]

[Anonymous], PREPRINT

[3]

[Anonymous], 2004, SPATIAL ECOLOGY VIA

[4]

[Anonymous], 2002, INTERDISCIPLINARY AP

[5]

[Anonymous], 1993, INTRO FUNCTIONAL DIF

[6]

ARENDT W, 1987, P LOND MATH SOC, V54, P321

[7] CRITERIA FOR THE EXISTENCE OF PRINCIPAL EIGENVALUES OF TIME PERIODIC COOPERATIVE LINEAR SYSTEMS WITH NONLOCAL DISPERSAL [J].

Bao, Xiongxiong ;

Shen, Wenxian .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (07) :2881-2894

[8] On the definition and the properties of the principal eigenvalue of some nonlocal operators [J].

Berestycki, Henri ;

Coville, Jerome ;

Vo, Hoang-Hung .

JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (10) :2701-2751

[9] PERTURBATIONS OF POSITIVE SEMIGROUPS AND APPLICATIONS TO POPULATION-GENETICS [J].

BURGER, R .

MATHEMATISCHE ZEITSCHRIFT, 1988, 197 (02) :259-272

[10]

Chicone C., 1999, EVOLUTION SEMIGROUPS, V70

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