Spreading speeds and traveling waves for periodic evolution systems

被引：221
作者：
Liang, Xing
Yi, Yingfei
Zhao, Xiao-Qiang [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
[3] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 231卷 / 01期
基金：
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词：
monotone systems; spreading speeds; periodic traveling waves;
D O I：
10.1016/j.jde.2006.04.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The theory of spreading speeds and traveling waves for monotone autonomous semiflows is extended to periodic semiflows in the monostable case. Then these abstract results are applied to a periodic system modeling man-environment-man epidemics, a periodic time-delayed and diffusive equation, and a periodic reaction-diffusion equation on a cylinder. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：57 / 77
页数：21
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