The principal eigenvalue for periodic nonlocal dispersal systems with time delay

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Liang, Xing^1,2  Zhang, Lei³  Zhao, Xiao-Qiang⁴ 

[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

关键词: Principal eigenvalue;    Periodic systems;    Time delay;    Nonlocal dispersal;   

DOI  :  10.1016/j.jde.2018.08.022

来源: Elsevier

【 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.

【 授权许可】

Free